(a)

The function is .

Apply derivative on each side

Apply chain rule of derivative .

slope at the point , Substitute in .

Find the tangent line equation using point-slope form .

(b)

Graph the function and tangent line  to verify the result.

(c)

Verify the derivative of the function using graphing utility .

So , the derivative of the function verified graphically.

The derivative of the function is .

(a) The tangent line equation is  .

(b)

Graph of the function and tangent line .

(c)

The derivative of the function is .