Let x = x(y) = ln ((y+1)^1/3) . What is dx/dy?

Q: Find the derivative of the inverse function  f(x) = x/x+2

A: Click to see the answer

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

Q: If y (in 2)2, then O 2eln 2 0 O 2 In 2 1 (in 2)2 O eln 2

A: We have to find derivative of y .Question is given below:

Q: 1. Indefinite and definite integrals including trigonometric functions and ones that will require th...

A: a. Integrate the given indefinite integral with respect to x as follows.

Q: Find the domain: g(x) = ln(e^x -5)

A: The domain of ln z is z>0. We'll use the same concept here. So e^x-5>0. 

Q: Differentiate the function. s(t) = 7t − 2(3t4 + 4)3

A: The differentiation of the function with respect to t  as follows.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: We first have to factor the numerator and the denominator. 

Q: differentiate f(t) = t^(1/3)/ (t-3) On the solution guide on the first step for the numerator, we ha...

A: Explanation:Consider the term t1/3.It is known that adding and subtracting a same number to any numb...

Q: Activity 4 the Derivative of Inverse Trigonometric Functions 9. Without technology find the derivati...

A: The given functions are y = sin–1(4x), y = cos–1(lnx), y = tan–1(e2x), y = x(sin-1(x))2.