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Prove your conjecture by rewriting function in given form

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Reference no: EM131603832

Question: (a) Use a computer algebra system to differentiate (x + 1)x and (sin x)x.

(b) Conjecture a rule for differentiating (f(x))x, where f is any differentiable function.

(c) Apply your rule to g(x) = (ln x)x. Does your answer agree with the answer given by the computer algebra system?

(d) Prove your conjecture by rewriting (f(x))x in the form eh(x).

Reference no: EM131603832

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