Find g(x) if g(x) = f(x Arcsin x) where f(x) is a function of x and f'(x) is its derivative.

Q: Differentiate the function.

A:

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: f(x) =e*(cosx) . Find the derivative of

A:

Q: What is the derivative of f(x) =,csc 2x 2

A:

Q: If f(x)=x2 -5x+7, calculate the derivative of f(x). Give it the name f'(x). Compare the domains of…

A: First we have to calculate the derivative of f(x) and then domains

Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

A:

Q: Differentiate f (x) = In(vx² + 1 sin* x) and write the derivative in its simplest form.

A:

Q: Compute the derivative of f(x) = sin2x

A: