cello10
cello10
17-08-2017
Mathematics
contestada
Find f ′(x) for f(x) = ln(x^3 + e^4x).
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jdoe0001
jdoe0001
17-08-2017
[tex]\bf f(x)=ln(x^3+e^{4x})\implies \cfrac{df}{dx}=\cfrac{\frac{d}{dx}[x^3+e^{4x}]}{x^3+e^{4x}} \\\\\\ \cfrac{df}{dx}=\cfrac{3x^2+\frac{d}{dx}[4x]e^{4x}}{x^3+e^{4x}}\implies \cfrac{df}{dx}=\cfrac{3x^2+4e^{4x}}{x^3+e^{4x}}[/tex]
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