Find the derivative of y with respect to x. y = tan`¹ (In 4x) 1 z(1+(la 4x)²) = (1 + ( In 42 )² ) 4 *(1 + (la 4x)²) *(1 + (n 42 ) 1 2₁/1+ (In 4x)²42 ) 1 1+(In 4x)²

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Question 11
Find the derivative of y with respect to x.
y = tan¹ (In 4x)
O
+(1+(la 4.c)²)
4
*(1 + (la 4x)²)
| = (1 + ( ² + + ²)
1
= √/1 + (n 42) ²
z√/1+(In 4+)²4
1+(In 4x)²
Question 12
Solve the problem. Round your answer, if appropriate.
Transcribed Image Text:Question 11 Find the derivative of y with respect to x. y = tan¹ (In 4x) O +(1+(la 4.c)²) 4 *(1 + (la 4x)²) | = (1 + ( ² + + ²) 1 = √/1 + (n 42) ² z√/1+(In 4+)²4 1+(In 4x)² Question 12 Solve the problem. Round your answer, if appropriate.
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