Question

Find the derivative of the function.

Answer 1

Step 1 :

The fundamental theorem of calculus, part 1 :

If f  is continuous on then the function g is defined by

is continuous on and differentiable on , and

Step 2 :

The equation is

Rewrite the expression :

Consider and .

Differentiate with respect to x.

          

 

Substitute these values in above equation.

From the fundamental theorem of calculus, part 1 :

The derivative of the function .

Solution :

The derivative of the function