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Popular >

derivative of y=e^{7/x}

Solution

derivative of

y = e^{\frac{7}{x}}

Solution

- \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{\frac{7}{x}})

Apply the chain rule:

e^{\frac{7}{x}} \frac{d}{d x} (\frac{7}{x})

= e^{\frac{7}{x}} \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= e^{\frac{7}{x}} (- \frac{7}{x ^{2}})

Simplify

e^{\frac{7}{x}} (- \frac{7}{x ^{2}}) : - \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

= - \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of y=e^{7/x} ?
The derivative of y=e^{7/x} is -(7e^{7/x})/(x^2)
What is the first derivative of y=e^{7/x} ?
The first derivative of y=e^{7/x} is -(7e^{7/x})/(x^2)