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Popular >

derivative of 7e^x-((10/(x^4)))

Solution

\frac{d}{d x} (7 e^{x} - (\frac{10}{x ^{4}}))

Solution

7 e^{x} + \frac{40}{x ^{5}}

Solution steps

\frac{d}{d x} (7 e^{x} - (\frac{10}{x ^{4}}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 e^{x}) - \frac{d}{d x} (\frac{10}{x ^{4}})

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

\frac{d}{d x} (\frac{10}{x ^{4}}) = - \frac{40}{x ^{5}}

= 7 e^{x} - (- \frac{40}{x ^{5}})

Simplify

= 7 e^{x} + \frac{40}{x ^{5}}

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Frequently Asked Questions (FAQ)

What is the derivative of 7e^x-((10/(x^4))) ?
The derivative of 7e^x-((10/(x^4))) is 7e^x+(40)/(x^5)
What is the first derivative of 7e^x-((10/(x^4))) ?
The first derivative of 7e^x-((10/(x^4))) is 7e^x+(40)/(x^5)