f(x)= (x+/x)(3x-24) 1. Find the derivative of f(x). No need to simplify but give answer with radicals and fractions. F'Cx)=CX+x(6XY3X24) (2x-/2) f'Cx) = 6x2+6x --- -1/2 6X-48x %3D 2. Find f(1) and f'(1).
f(x)= (x+/x)(3x-24) 1. Find the derivative of f(x). No need to simplify but give answer with radicals and fractions. F'Cx)=CX+x(6XY3X24) (2x-/2) f'Cx) = 6x2+6x --- -1/2 6X-48x %3D 2. Find f(1) and f'(1).
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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How to solve all numbers ?
![f(x) = (x+Jx)(3x? -24)
1. Find the derivative of f(x). No need to simplify but give answer with radicals and fractions.
F'Cx)=(X+x)(6XY3x-24)(3-2)
f'a) = Gx? +6XA
1/2
2. Find f(1) and f'(1).
3. Find the equation to the tangent line to (x) at x=1.
4. Find the equation to the normai line (perpeudicular to tangent) to f(x) at x=1
5. Use a graphing utility to check your results. It can be difficult to judge perpendicular-ness
from a graph when the scales on each axis differ. Graph the 2 lines using the window x[0.2] and
y[-43,41].
Note, this zoomed in, the original function and the tangent line at x=1 should graph so closely
your calculator might not distinguish the two.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2cb8285-2f3f-43c0-a50d-14dfffa3ef95%2Fd980f161-74e4-4f0f-a0ef-468e1943e59b%2Fuvf5l15_processed.jpeg&w=3840&q=75)
Transcribed Image Text:f(x) = (x+Jx)(3x? -24)
1. Find the derivative of f(x). No need to simplify but give answer with radicals and fractions.
F'Cx)=(X+x)(6XY3x-24)(3-2)
f'a) = Gx? +6XA
1/2
2. Find f(1) and f'(1).
3. Find the equation to the tangent line to (x) at x=1.
4. Find the equation to the normai line (perpeudicular to tangent) to f(x) at x=1
5. Use a graphing utility to check your results. It can be difficult to judge perpendicular-ness
from a graph when the scales on each axis differ. Graph the 2 lines using the window x[0.2] and
y[-43,41].
Note, this zoomed in, the original function and the tangent line at x=1 should graph so closely
your calculator might not distinguish the two.
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