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Popular >

derivative of e^{-1/x}+4x

Solution

derivative of

e^{- \frac{1}{x}} + 4 x

Solution

\frac{e ^{- \frac{1}{x}}}{x ^{2}} + 4

Solution steps

\frac{d}{d x} (e^{- \frac{1}{x}} + 4 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{- \frac{1}{x}}) + \frac{d}{d x} (4 x)

\frac{d}{d x} (e^{- \frac{1}{x}}) = \frac{e ^{- \frac{1}{x}}}{x ^{2}}

\frac{d}{d x} (4 x) = 4

= \frac{e ^{- \frac{1}{x}}}{x ^{2}} + 4

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Frequently Asked Questions (FAQ)

What is the derivative of e^{-1/x}+4x ?
The derivative of e^{-1/x}+4x is (e^{-1/x})/(x^2)+4
What is the first derivative of e^{-1/x}+4x ?
The first derivative of e^{-1/x}+4x is (e^{-1/x})/(x^2)+4