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.
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