Question: a. Explain why the Power Rule is consistent with the formula b. Prove that the Power Rule holds for n = 3/2. Use the definition

a. Explain why the Power Rule is consistent with the formula

(Vĩ) dx 2Vx

b. Prove that the Power Rule holds for n = 3/2. Use the definition of the derivative: d/dx (x3/2) = (x + h)³/2 – x³/2 lim

c. Prove that the Power Rule holds for n = 5/2.

d. Propose a formula for d/dx (xn/2), for any positive integer n.

(V) dx 2Vx (x + h)/2 x/2 lim

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