Mathematics

Question

Differentiate y = 5x2e3x

1 Answer

  • [tex]\dfrac{\mathrm d}{\mathrm dx}[5x^2e^{3x}]=5\left(\dfrac{\mathrm d}{\mathrm dx}[x^2]e^{3x}+x^2\dfrac{\mathrm d}{\mathrm dx}[e^{3x}]\right)[/tex]
    [tex]=5\left(2xe^{3x}+3x^2e^{3x}\right)[/tex]
    [tex]=5xe^{3x}(2+3x)[/tex]
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