The general rule is:

d/dx[a^u] = (u' a^u)*ln(a) for all bases, a, greater than 0

Which for e, simplifies to:

d/dx[e^u] = u' e^u

Integral is just the opposite, of course.

Differentiating and Integrating ln and e

Discussion

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Differentiating and Integrating ln and e

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