Therefore, we have y = 5x2 + 7x + 7 x = 5x3/2 + 7x1/2 + 7x−1/2. Now, since the function is a sum of power functions, we can use
the Power Rule to find its derivative. Recall that according to the Power Rule, the derivative of xn, where n is any real number, is nxn − 1. To use the Power Rule, we'll have to calculate the following. 3 2 − 1 = .5 Correct: Your answer is correct. 1 2 − 1 = -.5 Correct: Your answer is correct. − 1 2 − 1 = -1.5 Correct: Your answer is correct. Applying the Power Rule we have y' = 3.5 Incorrect: Your answer is incorrect. x1/2 + -3.5 Incorrect: Your answer is incorrect. x−1/2 + -1/2 Incorrect: Your answer is incorrect. x−3/2.
