347. y = (sin 2x) 4x

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CT: Chapter Test
Problem 5CT: Solve for x: z=x.
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please solve 347 

338. f(x) = 3 sin 3x
339. f(x) = x.*
340. f(x)=In(4x³ + x)
341. f(x)= In√5x - 7
342. f(x)=x² In 9x
343. f(x) = log (secx)
5
344. f(x) = log7(6x² + 3)
2
345. f(x) = 2x.log3 7x² - 4
For the following exercises, use logarithmic differentiation
dy
to find
dx
√x
346. y=x
347. y = (sin 2x) 4x
348. y = (lnx) Inx
Inx
349. y = x
Page
1
of 4
356. [T] Find the equation of the tangent line to the graph
of x³ - xlny+y³ = 2x+5 at the point where x = 2.
(Hint: Use implicit differentiation to find
Graph both
the curve and the tangent line.
dx
357. Consider the function y = x¹/* 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
+
Transcribed Image Text:338. f(x) = 3 sin 3x 339. f(x) = x.* 340. f(x)=In(4x³ + x) 341. f(x)= In√5x - 7 342. f(x)=x² In 9x 343. f(x) = log (secx) 5 344. f(x) = log7(6x² + 3) 2 345. f(x) = 2x.log3 7x² - 4 For the following exercises, use logarithmic differentiation dy to find dx √x 346. y=x 347. y = (sin 2x) 4x 348. y = (lnx) Inx Inx 349. y = x Page 1 of 4 356. [T] Find the equation of the tangent line to the graph of x³ - xlny+y³ = 2x+5 at the point where x = 2. (Hint: Use implicit differentiation to find Graph both the curve and the tangent line. dx 357. Consider the function y = x¹/* 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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