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Calculus · DER

Derivatives of Exponential and Logarithmic Functions

d/dx[e^x] = e^x; d/dx[ln x] = 1/x. For chain rule: d/dx[e^(f(x))] = e^(f(x))·f'(x); d/dx[ln(f(x))] = f'(x)/f(x).

CalculusCommon Core FUN-3.ADERVerified correct ✓

Worked examples

Find d/dx[e^(-1x)].
Answer: -exp(-x)
Find d/dx[ln(2x - 1)].
Answer: 2/(2*x - 1)

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