SOLUTION: Will someone please show me how to Find the derivative of: ln sin^(-1)x^(3), where sin is an inverse function of sin x. I would really appreciate a solution with steps. Thanks,

Question 335843: Will someone please show me how to Find the derivative of:
ln sin^(-1)x^(3), where sin is an inverse function of sin x.
I would really appreciate a solution with steps.
Thanks,
-Nick.
Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
Is that ?. This is why it is important to use proper grouping symbols. Perhaps you mean ?
Anyway, using the former:
If so, we use the chain rule and product rule.
The derivative of the inside times the derivative of the outside.
Derivative of inside using product rule:
Because the derivative of ln(x)=1/x, the derivative of the outside is:
Multiply them:
RELATED QUESTIONS
Please find the derivative of sin^-2(x^3)... (answered by Edwin McCravy)

Hi there, I was wondering if someone could show me how to find the derivative of... (answered by Alan3354)

PreCalculus! Give the domain and range of f(x)=sin(inverse)x I know how to do... (answered by stanbon)

Solve the following questions? (i) Find the radius of curvature of function f(x) = x + (answered by ikleyn)

What is the derivative of the function f(x) = (x^2-1)/sin x (answered by Gogonati)

Determine the derivative of the following. 1.y= loga(x^3+2x-2) 2.y= ln^3(x+ sin x) (answered by Edwin McCravy)

Determine the derivative of the following: 1.y= ln^3(x +sin x) 2.y= tan^-1(3x) (answered by ElectricPavlov)

Will someone please show me how to find the derivative of the following function: f(x) = (answered by moshiz08)

if you would be so kind- I had a question given to me by my teacher. the case is... (answered by stanbon)