Explanation Given: Function f ( x , y ) = 5 x 2 y 3 + 8 x y 2 − 3 x 2 . Calculation: Function is given as f ( x , y ) = 5 x 2 y 3 + 8 x y 2 − 3 x 2 . Differentiate f ( x , y ) with respect to x , we get f x ( x , y ) = ∂ ∂ x ( 5 x 2 y 3 + 8 x y 2 − 3 x 2 ) f x ( x , y ) = ∂ ∂ x ( 5 x 2 y 3 ) + ∂ ∂ x ( 8 x y 2 ) − ∂ ∂ x ( 3 x 2 ) f x ( x , y ) = 5 y 3 ∂ ∂ x ( x 2 ) + 8 y 2 ∂ ∂ x ( x ) − 3 ∂ ∂ x ( x 2 ) f x ( x , y ) = 5 y 3 ( 2 x ) + 8 y 2 ( 1 ) − ( 2 x ) f x ( x , y ) = 10 x y 3 + 8 y 2 − 2 x Differentiate f ( x , y

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

See similar textbooks

Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Videos

Question

Chapter 8.4, Problem 8P

To determine

To find the partial derivative fx and fy for the below function

f(x,y)=5x2y3+8xy2−3x2.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.4, Problem 7P

Chapter 8.4, Problem 9P

Students have asked these similar questions

Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of 0.35%. Use this information for all the problems below. 1. Find an exponential function f(t) that gives the population of Tattooine t years from now. (3 points)

A house was valued at $95,000 in the year 1988. The value appreciated to $170,000 by the year 2007. A) If the value is growing exponentially, what was the annual growth rate between 1988 and 2007? Round the growth rate to 4 decimal places. r = B) What is the correct answer to part A written in percentage form? r = 3 %.

B G R + K Match each equation with a graph above - 3(0.9)* 1 a. green (G) 3(1.5)* b. black (K) 3(0.73)* c. blue (B) d. red (R) I ✪ 4(1.21)* - 3(1.21)* e. orange (O)

Chapter 8 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

Ch. 8.1 - Prob. 11P Ch. 8.1 - Prob. 12P Ch. 8.1 - Prob. 13P Ch. 8.1 - Prob. 14P Ch. 8.1 - Prob. 15P Ch. 8.1 - Prob. 16P Ch. 8.1 - Prob. 17P Ch. 8.1 - Prob. 18P Ch. 8.1 - Prob. 19P Ch. 8.1 - Prob. 20P Ch. 8.1 - Prob. 21P Ch. 8.1 - Prob. 22P Ch. 8.1 - Prob. 23P Ch. 8.1 - Prob. 24P Ch. 8.1 - Prob. 25P Ch. 8.1 - Prob. 26P Ch. 8.1 - Prob. 27P Ch. 8.1 - Prob. 28P Ch. 8.1 - Prob. 29P Ch. 8.1 - Prob. 30P Ch. 8.2 - Prob. 1P Ch. 8.2 - Prob. 2P Ch. 8.2 - Prob. 3P Ch. 8.2 - Prob. 4P Ch. 8.2 - Prob. 5P Ch. 8.2 - Prob. 6P Ch. 8.2 - Prob. 7P Ch. 8.2 - Prob. 8P Ch. 8.2 - Prob. 9P Ch. 8.2 - Prob. 10P Ch. 8.2 - Prob. 11P Ch. 8.2 - Prob. 12P Ch. 8.2 - Prob. 13P Ch. 8.2 - Prob. 14P Ch. 8.2 - Prob. 15P Ch. 8.2 - Prob. 16P Ch. 8.2 - Prob. 17P Ch. 8.2 - Prob. 18P Ch. 8.2 - Prob. 19P Ch. 8.2 - Prob. 20P Ch. 8.2 - Prob. 21P Ch. 8.2 - Prob. 22P Ch. 8.2 - Prob. 23P Ch. 8.2 - Prob. 24P Ch. 8.2 - Prob. 25P Ch. 8.2 - Prob. 26P Ch. 8.2 - Prob. 27P Ch. 8.2 - Prob. 28P Ch. 8.2 - Prob. 29P Ch. 8.2 - Prob. 30P Ch. 8.2 - Prob. 31P Ch. 8.2 - Prob. 32P Ch. 8.2 - Prob. 33P Ch. 8.2 - Prob. 34P Ch. 8.2 - Prob. 35P Ch. 8.2 - Prob. 36P Ch. 8.2 - Prob. 37P Ch. 8.2 - Prob. 38P Ch. 8.2 - Prob. 39P Ch. 8.2 - Prob. 40P Ch. 8.2 - Prob. 41P Ch. 8.2 - Prob. 42P Ch. 8.2 - Prob. 43P Ch. 8.2 - Prob. 44P Ch. 8.3 - Prob. 1P Ch. 8.3 - Prob. 2P Ch. 8.3 - Prob. 3P Ch. 8.3 - Prob. 4P Ch. 8.3 - Prob. 5P Ch. 8.3 - Prob. 6P Ch. 8.3 - Prob. 7P Ch. 8.3 - Prob. 8P Ch. 8.3 - Prob. 9P Ch. 8.3 - Prob. 10P Ch. 8.3 - Prob. 11P Ch. 8.3 - Prob. 12P Ch. 8.3 - Prob. 13P Ch. 8.3 - Prob. 14P Ch. 8.3 - Prob. 15P Ch. 8.3 - Prob. 16P Ch. 8.3 - Prob. 17P Ch. 8.3 - Prob. 18P Ch. 8.3 - Prob. 19P Ch. 8.3 - Prob. 20P Ch. 8.3 - Prob. 21P Ch. 8.3 - Prob. 22P Ch. 8.3 - Prob. 23P Ch. 8.3 - Prob. 24P Ch. 8.3 - Prob. 25P Ch. 8.3 - Prob. 26P Ch. 8.3 - Prob. 27P Ch. 8.3 - Prob. 28P Ch. 8.3 - Prob. 29P Ch. 8.3 - Prob. 30P Ch. 8.3 - Prob. 31P Ch. 8.3 - Prob. 32P Ch. 8.3 - Prob. 33P Ch. 8.3 - Prob. 34P Ch. 8.3 - Prob. 35P Ch. 8.3 - Prob. 36P Ch. 8.3 - Prob. 37P Ch. 8.3 - Prob. 38P Ch. 8.3 - Prob. 39P Ch. 8.3 - Prob. 40P Ch. 8.4 - Prob. 1P Ch. 8.4 - Prob. 2P Ch. 8.4 - Prob. 3P Ch. 8.4 - Prob. 4P Ch. 8.4 - Prob. 5P Ch. 8.4 - Prob. 6P Ch. 8.4 - Prob. 7P Ch. 8.4 - Prob. 8P Ch. 8.4 - Prob. 9P Ch. 8.4 - Prob. 10P Ch. 8.4 - Prob. 11P Ch. 8.4 - Prob. 12P Ch. 8.4 - Prob. 13P Ch. 8.4 - Prob. 14P Ch. 8.4 - Prob. 15P Ch. 8.4 - Prob. 16P Ch. 8.4 - Prob. 17P Ch. 8.4 - Prob. 18P Ch. 8.4 - Prob. 19P Ch. 8.4 - Prob. 20P Ch. 8.4 - Prob. 21P Ch. 8.4 - Prob. 22P Ch. 8.4 - Prob. 23P Ch. 8.4 - Prob. 24P Ch. 8.4 - Prob. 25P Ch. 8.4 - Prob. 26P Ch. 8.4 - Prob. 27P Ch. 8.4 - Prob. 28P Ch. 8.4 - Prob. 29P Ch. 8.4 - Prob. 30P Ch. 8.4 - Prob. 31P Ch. 8.4 - Prob. 32P Ch. 8.4 - Prob. 33P Ch. 8.4 - Prob. 34P Ch. 8.4 - Prob. 35P Ch. 8.4 - Prob. 36P Ch. 8.4 - Prob. 37P Ch. 8.4 - Prob. 38P Ch. 8.4 - Prob. 39P Ch. 8.4 - Prob. 40P Ch. 8.4 - Prob. 41P Ch. 8.4 - Prob. 42P Ch. 8.4 - Prob. 43P Ch. 8.4 - Prob. 44P Ch. 8.5 - Prob. 1P Ch. 8.5 - Prob. 2P Ch. 8.5 - Prob. 3P Ch. 8.5 - Prob. 4P Ch. 8.5 - Prob. 5P Ch. 8.5 - Prob. 6P Ch. 8.5 - Prob. 7P Ch. 8.5 - Prob. 8P Ch. 8.5 - Prob. 9P Ch. 8.5 - Prob. 10P Ch. 8.5 - Prob. 11P Ch. 8.5 - Prob. 12P Ch. 8.5 - Prob. 13P Ch. 8.5 - Prob. 14P Ch. 8.5 - Prob. 15P Ch. 8.5 - Prob. 16P Ch. 8.5 - Prob. 17P Ch. 8.5 - Prob. 18P Ch. 8.5 - Prob. 19P Ch. 8.5 - Prob. 20P Ch. 8.5 - Prob. 21P Ch. 8.5 - Prob. 22P Ch. 8.5 - Prob. 23P Ch. 8.5 - Prob. 24P Ch. 8.5 - Prob. 25P Ch. 8.5 - Prob. 26P Ch. 8.5 - Prob. 27P Ch. 8.5 - Prob. 28P Ch. 8.5 - Prob. 29P Ch. 8.5 - Prob. 30P Ch. 8.5 - Prob. 31P Ch. 8.5 - Prob. 32P Ch. 8.6 - Prob. 1P Ch. 8.6 - Prob. 2P Ch. 8.6 - Prob. 3P Ch. 8.6 - Prob. 4P Ch. 8.6 - Prob. 5P Ch. 8.6 - Prob. 6P Ch. 8.6 - Prob. 7P Ch. 8.6 - Prob. 8P Ch. 8.6 - Prob. 9P Ch. 8.6 - Prob. 10P Ch. 8.6 - Prob. 11P Ch. 8.6 - Prob. 12P Ch. 8.6 - Prob. 13P Ch. 8.6 - Prob. 14P Ch. 8.6 - Prob. 15P Ch. 8.6 - Prob. 16P Ch. 8.6 - Prob. 17P Ch. 8.6 - Prob. 18P Ch. 8.6 - Prob. 19P Ch. 8.6 - Prob. 20P Ch. 8.6 - Prob. 21P Ch. 8.6 - Prob. 22P Ch. 8.6 - Prob. 23P Ch. 8.6 - Prob. 24P Ch. 8.6 - Prob. 25P Ch. 8.6 - Prob. 26P Ch. 8.6 - Prob. 27P Ch. 8 - Prob. 1SYU Ch. 8 - Prob. 2SYU Ch. 8 - Prob. 3SYU Ch. 8 - Prob. 4SYU Ch. 8 - Prob. 5SYU Ch. 8 - Prob. 6SYU Ch. 8 - Prob. 7SYU Ch. 8 - Prob. 8SYU Ch. 8 - Prob. 9SYU Ch. 8 - Prob. 10SYU Ch. 8 - Prob. 11SYU Ch. 8 - Prob. 12SYU Ch. 8 - Prob. 13SYU Ch. 8 - Prob. 14SYU Ch. 8 - Prob. 15SYU Ch. 8 - Prob. 16SYU Ch. 8 - Prob. 17SYU Ch. 8 - Prob. 18SYU Ch. 8 - Prob. 19SYU Ch. 8 - Prob. 20SYU Ch. 8 - Prob. 21SYU Ch. 8 - Prob. 22SYU Ch. 8 - Prob. 23SYU Ch. 8 - Prob. 24SYU Ch. 8 - Prob. 25SYU Ch. 8 - Prob. 26SYU Ch. 8 - Prob. 27SYU Ch. 8 - Prob. 28SYU Ch. 8 - Prob. 29SYU Ch. 8 - Prob. 30SYU Ch. 8 - Prob. 31SYU Ch. 8 - Prob. 32SYU Ch. 8 - Prob. 33SYU Ch. 8 - Prob. 34SYU Ch. 8 - Prob. 35SYU Ch. 8 - Prob. 36SYU Ch. 8 - Prob. 37SYU Ch. 8 - Prob. 38SYU Ch. 8 - Prob. 39SYU Ch. 8 - Prob. 40SYU Ch. 8 - Prob. 41SYU Ch. 8 - Prob. 42SYU Ch. 8 - Prob. 43SYU Ch. 8 - Prob. 44SYU Ch. 8 - Prob. 45SYU Ch. 8 - Prob. 46SYU Ch. 8 - Prob. 47SYU Ch. 8 - Prob. 48SYU Ch. 8 - Prob. 49SYU Ch. 8 - Prob. 50SYU Ch. 8 - Prob. 51SYU Ch. 8 - Prob. 52SYU Ch. 8 - Prob. 53SYU Ch. 8 - Prob. 54SYU Ch. 8 - Prob. 55SYU Ch. 8 - Prob. 56SYU Ch. 8 - Prob. 57SYU Ch. 8 - Prob. 58SYU Ch. 8 - Prob. 59SYU Ch. 8 - Prob. 60SYU Ch. 8 - Prob. 1FOT Ch. 8 - Prob. 2FOT Ch. 8 - Prob. 3FOT Ch. 8 - Prob. 4FOT Ch. 8 - Prob. 5FOT Ch. 8 - Prob. 6FOT Ch. 8 - Prob. 7FOT

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To find the partial derivative f x and f y for the below function f ( x , y ) = 5 x 2 y 3 + 8 x y 2 − 3 x 2 .

Solution Summary: The author explains how to find the partial derivative f_x for the below function.

Concept explainers

Videos

To find the partial derivative fx and fy for the below function

f(x,y)=5x2y3+8xy2−3x2.

Want to see the full answer?

Chapter 8 Solutions

To find the partial derivative f x and f y for the below function f ( x , y ) = 5 x 2 y 3 + 8 x y 2 − 3 x 2 .

Solution Summary: The author explains how to find the partial derivative f_x for the below function.

Concept explainers

Videos

To find the partial derivative fx and fy for the below function f(x,y)=5x2y3+8xy2−3x2.

Want to see the full answer?

Chapter 8 Solutions

To find the partial derivative fx and fy for the below function

f(x,y)=5x2y3+8xy2−3x2.