Question

Use Part 1 of the Fundamental Theorem of Calculus to 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

Compare with

The function

From the fundamental theorem of calculus, part 1

The derivative of the function .

The derivative of the function

Solution :

The derivative of the function