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Popular >

derivative of x^{10}e^x+10

Solution

\frac{d}{d x} (x^{10} e^{x} + 10)

Solution

e^{x} x^{10} + 10 e^{x} x^{9}

Solution steps

\frac{d}{d x} (x^{10} e^{x} + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{10} e^{x}) + \frac{d}{d x} (10)

\frac{d}{d x} (x^{10} e^{x}) = 10 x^{9} e^{x} + e^{x} x^{10}

\frac{d}{d x} (10) = 0

= 10 x^{9} e^{x} + e^{x} x^{10} + 0

Simplify

= e^{x} x^{10} + 10 e^{x} x^{9}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of x^{10}e^x+10 ?
The derivative of x^{10}e^x+10 is e^xx^{10}+10e^xx^9
What is the first derivative of x^{10}e^x+10 ?
The first derivative of x^{10}e^x+10 is e^xx^{10}+10e^xx^9