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Popular >

derivative of 3/x+e^{2x}*2

Solution

\frac{d}{d x} (\frac{3}{x} + e^{2 x} \cdot 2)

Solution

- \frac{3}{x ^{2}} + 4 e^{2 x}

Solution steps

\frac{d}{d x} (\frac{3}{x} + e^{2 x} \cdot 2)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{3}{x}) + \frac{d}{d x} (e^{2 x} \cdot 2)

\frac{d}{d x} (\frac{3}{x}) = - \frac{3}{x ^{2}}

\frac{d}{d x} (e^{2 x} \cdot 2) = 4 e^{2 x}

= - \frac{3}{x ^{2}} + 4 e^{2 x}

Graph

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laplacetransform e^{-2t}(t^2+4t+5)laplace transform

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\int_{a}^{2 a} (a - \frac{a ^{3}}{x ^{2}}) d x

Frequently Asked Questions (FAQ)

What is the derivative of 3/x+e^{2x}*2 ?
The derivative of 3/x+e^{2x}*2 is -3/(x^2)+4e^{2x}
What is the first derivative of 3/x+e^{2x}*2 ?
The first derivative of 3/x+e^{2x}*2 is -3/(x^2)+4e^{2x}