Find f'(x)?

Question

If f(x)=(x^2+1)^x, find f'(x).

 

 

Answer 1

Hint if f(x)=(x² +1)^x then the ln(f(x))= xln(x² +1) differentiate both sides with respect to x.

 

d/dx(f)= (1/f) df/dx=d/dx(xln(x² +1)) use the product rule on the right hand side and then solve for df/dx

 

Regards

Jim