Given the function f(z) =- 3x2f(z + h)- f(z)Find the difference quotienthf(z + h)- f(z)Find f'(z) by determining limh0Find f'(-2) (This slope should match the tangent line you drew above.)Find f'(0)Find f'(1)3r and draw the tangent lines to the graph at points whose x-coordinatesGraph the function f(z)are -2, 0, and 1.Clear All Draw:

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Answered: Given the function f(z) = 3z2 f(z…

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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Given the function f(z) = 3z2 f(z +h)-f(z) Find the difference quotient h f(z + h)- f(x) Find f'(z) by determining lim h0 Find f'(-2) (This slope should match the tangent line you drew above.)