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If f(x) = 5x2 - 4x, find f'(2) and use it to find an equation of the tangent line to the parabola y = 5x2 - 4x at the point (2, 12). f'(2) = y(x) = Additional Materials

If f(x) = 5x2 - 4x, find f'(2) and use it to find an equation of the tangent line to the parabola y = 5x2 - 4x at the point (2, 12). f'(2) = y(x) = Additional Materials

Calculus: Early Transcendentals
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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Question
If f(x) = 5x² – 4x, find f'(2) and use it to find an equation of the tangent line to the parabola y = 5x2 - 4x at the point (2, 12). %3D f'(2) %3D y(x) %D Additional Materials
Transcribed Image Text:If f(x) = 5x² – 4x, find f'(2) and use it to find an equation of the tangent line to the parabola y = 5x2 - 4x at the point (2, 12). %3D f'(2) %3D y(x) %D Additional Materials
Expert Solution
Step 1

Given that fx=5x2-4xTo find : equation of tangent at point 2,12 and f'2Solution :fx=5x2-4xf'x=10x-4f'2=10×2-4=16slope = dydx=f'xequation of tangent at point a,b y-b=dydxx-aa=2 ,b=12 , dydx=f'2=16y-12=16x-2y=16x-20

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