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    IBMediumCalculus10–12

    What is the derivative of f(x)=e3xf(x) = e^{3x}?

    Qual é a derivada de f(x)=e3xf(x) = e^{3x}?

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    Solution

    By the chain rule: ddx[e3x]=e3x⋅3=3e3x\frac{d}{dx}[e^{3x}] = e^{3x} \cdot 3 = 3e^{3x}