solve 335 the answer is 4/(e^x+e^-x)^2 why please explain to me why For the following exercises, find f'(x) for each function.331. f(x) = x² ex332. f(x)=xe333. f(x) = ex³lnx334. f(x) = √e²x + 2x2x335. f(x)= =10%In 10337. f(x) = 24x + 4x²338. f(x) = 3 sin 3x339. f(x)= xx340. f(x) = ln(4x³ + x)341. f(x) = In√5x - 7342. f(x)=x²ln 9x343. f(x) = log (secx)336. f(x) =+3) ³344. f(x) = log7(6x4 +Inx350. y=(x²-1) ¹xcotx351. y=xCoPage352. y =1x+11√√²-4353. y=x-1/2 (x²+3) ²/3 (3x-4)4354. [T] Find an equation of the tangent line to the graph(x²-1)of f(x) = 4xeboth the function and the tangent line.of 4at the point where x = −1. Graph355. [T] Find the equation of the line that is normal to thegraph of f(x) = x 5* at the point where x = 1. Graphboth the function and the normal line.356. [T] Find the equation of the tangent line to the graphof x³ - xlny + y² = 2x+5 at the point where x = 2.(Hint: Use implicit differentiation to findthe curve and the tangent line.357. Consider the function y = x²x l/xdydx.) Graph bothfor x > 0.a. Determine the points on the graph where thetangent line is horizontal.b. Determine the points on the graph where y'>0and those where y' < 0.ZOOM+|

Answered: Image /qna-images/answer/aae92254-7f7c-4fc5-aabd-8c021432196f.jpg

Answered: 335. f(x) = TUL

Math

Calculus

335. f(x) = TUL

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

solve 335 the answer is 4/(e^x+e^-x)^2 why please explain to me why

For the following exercises, find f'(x) for each function.
331. f(x) = x² ex
332. f(x)=x
e
333. f(x) = ex³lnx
334. f(x) = √e²x + 2x
2x
335. f(x)= =
10%
In 10
337. f(x) = 24x + 4x²
338. f(x) = 3 sin 3x
339. f(x)= xx
340. f(x) = ln(4x³ + x)
341. f(x) = In√5x - 7
342. f(x)=x²ln 9x
343. f(x) = log (secx)
336. f(x) =
+3) ³
344. f(x) = log7(6x4 +
Inx
350. y=(x²-1) ¹x
cotx
351. y=xCo
Page
352. y =
1
x+11
√√²-4
353. y=x-1/2 (x²+3) ²/3 (3x-4)4
354. [T] Find an equation of the tangent line to the graph
(x²-1)
of f(x) = 4xe
both the function and the tangent line.
of 4
at the point where x = −1. Graph
355. [T] Find the equation of the line that is normal to the
graph of f(x) = x 5* at the point where x = 1. Graph
both the function and the normal line.
356. [T] Find the equation of the tangent line to the graph
of x³ - xlny + y² = 2x+5 at the point where x = 2.
(Hint: Use implicit differentiation to find
the curve and the tangent line.
357. Consider the function y = x²
x l/x
dy
dx
.) Graph both
for x > 0.
a. Determine the points on the graph where the
tangent line is horizontal.
b. Determine the points on the graph where y'>0
and those where y' < 0.
ZOOM
+
|

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