Consider the function(a) Compute the derivative of f(x) directly from the limit definition.f(x+h)-f(x)hf'(x) = limh→01: lim (((4(x+h)-5)/(-4(x+h)-2)-(4x-5)/(-4x-2))h→0 hlimh→0=f(x) =(simplify to cancel h)4x5-4x2(b) Find an equation for the line tangent to y = f (x) at (−2, −1³).y =x+(c) Find an equation for the line normal (ie perpendicular) to y = f (x) at (2, ³0).y =x+

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Consider the function (a) Compute the derivative of f(x) directly from the limit definition. f(x+h)-f(x) h f'(x) = lim h→0 1 h→0 h = lim = : lim h→0 . (((4(x+h)-5)/(-4(x+h)-2))-(4x-5)/(-4x-2)) f(x) = (simplify to cancel h) 4x - 5 -4x - 2 = (b) Find an equation for the line tangent to y = f(x) at (−2, −1³). y = x+ (c) Find an equation for the line normal (ie perpendicular) to y = f(x) at (2, ³0). y = x+

Consider the function (a) Compute the derivative of f(x) directly from the limit definition. f(x+h)-f(x) h f'(x) = lim h→0 1 h→0 h = lim = : lim h→0 . (((4(x+h)-5)/(-4(x+h)-2))-(4x-5)/(-4x-2)) f(x) = (simplify to cancel h) 4x - 5 -4x - 2 = (b) Find an equation for the line tangent to y = f(x) at (−2, −1³). y = x+ (c) Find an equation for the line normal (ie perpendicular) to y = f(x) at (2, ³0). y = x+

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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