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Calculus · Derivatives

Differentiate e^(3x)

\frac{d}{dx}\left[e^{3 x}\right]

Step by step

  1. \frac{d}{dx}\left[e^{3 x}\right]

    Start from the derivative to compute.

  2. e^{3 x} \frac{d}{d x} 3 x

    Chain rule: (eᵘ)′ = eᵘ, times u′ where u = 3 x.

  3. 3 e^{3 x} \frac{d}{d x} x

    Constant multiple rule: pull the constant out.

  4. 3 e^{3 x}

    d/dx of x is 1.

Reveal the answer
f'(x) = 3 e^{3 x}