partial derivative fex: Z = XY2+ 2 ++yOdz =azวๆง(1)2งดง224x^++CAP(+x^ +++2a)=op(²²+x^+9y32

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Answered: хе f ex: z =_ху 4х2+4у2 Odz ()…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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derivatives
Label differentiation rules step-by-step
nation Examination Examination F ation Final Examina INSTITUTE Fin on Final minatic Question no. 1 BUKHAR Final Find the derivative of the following functions: (11 marks) (2 marks) inal inal on (a) f(x) = (2x – 8)(x³ + x² + 7x) (3x+4) (x3-2x) (1.5 marks) (2.5 marks) n (b) f(x) = Final Exa nation Final Exan amination Final Examin mination Final Examinatic (2.5 marks) ami xamin Examina (c) f(x) = [4x (1–x2)]¾>BIT hal Exa Examination Final (2.5 marks) (d) f(x) = 2x²exo nation Final Exan minal 4x+3 Examinat In 3x2 Final Exam ation (e) f(x) = STITUTE SECHNOL AM ALI SE
Estimate the input value(s) where the function has a relative extreme point. Identify each relative extreme as a maximum or minimum, and indicate whether the derivative of the function at that point is zero or does not exist maximum or minimum? input value derivative Select (smallest value) Select ' -Select Select --Select --Select (largest value) y 2 0.5 3 15 2 2.5
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Using differentiation rule, find the derivative of the function ƒ (²) = [2 + (² ² + 1)²³ at _z = 1 + i
Optimization Theory
Create a sequence of secant lines that can be used to approximate the value of the derivative at x =-1. Give your values of h and the slope of the secant line for that value of h. Now think about the derivative of f (x) = 2 Caution: The graph of the function f(x) = 2* is still depicted below. h slope of secant line You can approximate the value of the derivative at x= a by looking at the slopes of the secant lines very close to the input a. That is for small values of h, find the slope of the secant line on the interval [a, a + h] 10 Create a sequence of secant lines that can be used to approximate the value of the derivative at x = 0. Give your values of h and the slope of the secant line for that value of h. -8 h slope of secant line Create a sequence of secant lines that can be used to approximate the value of the derivative at x = 1. Give your values of h and the slope of the secant line for that value of h. -4 3 -2 -1 h slope of secant line
Partial derivative ques
partial derivative
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хе f ex: z =_ху 4х2+4у2 Odz () (4x2++y)-04-2 8X сах2+чучук ze he L f'.g-f.g' органда 4x2+4y3