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Popular >

derivative of e^{9x^2}+x

Solution

\frac{d}{d x} (e^{9 x^{2}} + x)

Solution

e^{9 x^{2}} \cdot 18 x + 1

Solution steps

\frac{d}{d x} (e^{9 x^{2}} + x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{9 x^{2}}) + \frac{d x}{d x}

\frac{d}{d x} (e^{9 x^{2}}) = e^{9 x^{2}} \cdot 18 x

\frac{d x}{d x} = 1

= e^{9 x^{2}} \cdot 18 x + 1

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Frequently Asked Questions (FAQ)

What is the derivative of e^{9x^2}+x ?
The derivative of e^{9x^2}+x is e^{9x^2}*18x+1
What is the first derivative of e^{9x^2}+x ?
The first derivative of e^{9x^2}+x is e^{9x^2}*18x+1