Question: 8. DIFFERENTIATION FORMULAE d (1) Prove the differentiation formula for the constant function. That is, prove (c) (c) = 0. dx (2) Check the

8. DIFFERENTIATION FORMULAE d (1) Prove the differentiation formula for the constant function. That is, prove (c) (c) = 0. dx (2) Check the formula x" - a = (x - a) (xn1 + x-2a + x^-3a + ... + a-1) for any positive integer n. d (3) If n is a positive integer, then prove that (2n) = n2n-1 dx

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