Explanation Given Information: The function provided is p = 4 q e q 3 . Formula used: According to the property of derivatives, if f ( x ) = c ⋅ u ( x ) , where, c is a constant and u ( x ) is a differentiable function of x , then, f ′ ( x ) = c ⋅ u ′ ( x ) According to the property of derivatives, for a function, y = e u , where, u is a differentiable function of x , d y d x = e u d u d x According to the product rule, for a function of form, y = f ⋅ g , the derivative is d d x ( f ⋅ g ) = g f ′ + f g ′ According to the power rule, if y = x n , then, d y d x = n x n − 1 If y = e x where, u is a differentiable function of x , d y d x = e x Calculation: Consider the function provided, p = 4 q e q 3 Differentiate both sides with respect to q and apply the properties of derivatives,

11th Edition

ISBN: 8220100546235

Author: Reynolds

Publisher: CENGAGE L

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 11.2, Problem 20E

To determine

To calculate: The derivative of function, p=4qeq3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.2, Problem 19E

Chapter 11.2, Problem 21E

Students have asked these similar questions

CVE, AVM, AC, ¬SA¬ME A Fitch Style proof for this argument

13:26 ... ← Robert F. Blitzer - Thinkin... 0,04 61 KB/d 目 polygons to create a fraudulent tessellation with discrepancies that are too subtle for the eye to notice. In Exercises 45-46, you will use mathematics, not your eyes, to observe the irregularities. B A 45. Find the sum of the angle measures at vertex A. Then explain why the tessellation is a fake. 46. Find the sum of the angle measures at vertex B. Then explain why the tessellation is a fake. =et at If se Fic SECTION 10.3 Polygons, Perimeter, and Tessellations 645 61. I find it helpful to think of a polygon's perimeter as the length of its boundary. 62. If a polygon is not regular, I can determine the sum of the measures of its angles, but not the measure of any one of its angles. 63. I used floor tiles in the shape of regular pentagons to completely cover my kitchen floor. In Exercises 64-65, write an algebraic expression that represents the perimeter of the figure shown. is be 64. le a b C 2/ If se ny

not use ai please don't

Chapter 11 Solutions

EBK MATHEMATICAL APPLICATIONS FOR THE M

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

Knowledge Booster

Learn more about

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

The derivative of function, p = 4 q e q 3 .

Solution Summary: The author explains how to calculate the derivative of the function p=4qeq.

Concept explainers

Videos

To calculate: The derivative of function, p=4qeq3.

Want to see the full answer?

Chapter 11 Solutions