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Popular >

derivative of x^7e^{9x}

Solution

\frac{d}{d x} (x^{7} e^{9 x})

Solution

7 x^{6} e^{9 x} + e^{9 x} \cdot 9 x^{7}

Solution steps

\frac{d}{d x} (x^{7} e^{9 x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{7}, g = e^{9 x}

= \frac{d}{d x} (x^{7}) e^{9 x} + \frac{d}{d x} (e^{9 x}) x^{7}

\frac{d}{d x} (x^{7}) = 7 x^{6}

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

= 7 x^{6} e^{9 x} + e^{9 x} \cdot 9 x^{7}

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h \to 0 lim (\frac{( π + h ) + 1}{h})

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n = 2 \sum \infty \frac{8}{( n ^{2} - 1 )}

Frequently Asked Questions (FAQ)

What is the derivative of x^7e^{9x} ?
The derivative of x^7e^{9x} is 7x^6e^{9x}+e^{9x}*9x^7
What is the first derivative of x^7e^{9x} ?
The first derivative of x^7e^{9x} is 7x^6e^{9x}+e^{9x}*9x^7