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    IBMediumCalculus10–12

    Product Rule for Derivatives

    Regra do Produto para Derivadas

    Find the derivative of f(x)=x2⋅exf(x) = x^{2} \cdot e^{x}.

    Product rule: (uv)′=u′v+uv′(uv)' = u'v + uv'. Let u=x2u = x^{2}, v=exv = e^{x}.

    Solution

    Step 1 of 5

    1. 1.u=x2u = x^{2}, u′=2xu' = 2x