50. y = x¹/x

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
3.6-Number 50, please
ALEKS - JOSnda
CENGAGE MINDTAP
3: Differentiation Rules
<
43. Let f(x) = cx + ln (cos x). For what value of c is f' (π/4)=6?
44. Let f(x) = log, (3x² - 2). For what value of b is f' (1) = 3?
Answer
45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, and 56 Use logarithmic differentiation to find the derivative of
the function.
45. y = (x² + 2)² (4+4) ¹
46.
47.
Answer +
y =
y =
COS² I
e
x² + x + 1
x-1
24 +1
Answer +
48. y = √xe²(x + 1)²/3
49. y = x²
Answer +
50. y = x¹/
AA
Q Sea
Transcribed Image Text:ALEKS - JOSnda CENGAGE MINDTAP 3: Differentiation Rules < 43. Let f(x) = cx + ln (cos x). For what value of c is f' (π/4)=6? 44. Let f(x) = log, (3x² - 2). For what value of b is f' (1) = 3? Answer 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, and 56 Use logarithmic differentiation to find the derivative of the function. 45. y = (x² + 2)² (4+4) ¹ 46. 47. Answer + y = y = COS² I e x² + x + 1 x-1 24 +1 Answer + 48. y = √xe²(x + 1)²/3 49. y = x² Answer + 50. y = x¹/ AA Q Sea
Expert Solution
Step 1

To find : Derivative of the function y=x1x

Take logarithm to both sides, we get

logy=1xlogx …..(1)

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