Use the Quotient Rule and Exercise 88 to show that d/dx (e kx ) = ke kx

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Use the Quotient Rule and Exercise 88 to show that d/dx (ekx) = kekx, for negative integers k.

Data from exercise 88

Proof by induction is a method in which one begins by showing that a statement, which involves positive integers, is true for a particular value (usually k = 1). In the second step, the statement is assumed to be true for k = n, and the statement is proved for k = n + 1, which concludes the proof.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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