Test review please help

Question

Answer 1

(7)

The Function is y = (x³ + 1)².

Apply Derivative on both sides.

   (Using Power rule of Derivatives )

y' = 2(x³ + 1) * (3x²)

Therfore derivative of y = (x³ + 1)² is .

Answer 2

(8)

The Function is √(x²+x+1)

Re-write the expression

(x²+x+1)^(1/2)

Apply Derivative on both sides.

  (Using Power rule of Derivatives )

.

Therefore derivative of y = √(x²+x+1) is .