What is the derivative of e^{x^2}+5x^2 ?

The derivative of e^{x^2}+5x^2 is e^{x^2}*2x+10x

What is the first derivative of e^{x^2}+5x^2 ?

The first derivative of e^{x^2}+5x^2 is e^{x^2}*2x+10x

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derivative of

e^{x^{2}} + 5 x^{2}

e^{x^{2}} \cdot 2 x + 10 x

Solution steps

\frac{d}{d x} (e^{x^{2}} + 5 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x^{2}}) + \frac{d}{d x} (5 x^{2})

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

\frac{d}{d x} (5 x^{2}) = 10 x

= e^{x^{2}} \cdot 2 x + 10 x

\int \frac{- x ^{2} + x}{x ^{4}} d x

\int \frac{1}{5 + 3 cos ( x )} d x

\frac{d}{d x} (ln cos (\frac{π}{x}))

\int_{0}^{4} 5 d x

\int \frac{x ^{3}}{x ^{2} - 1} d x

What is the derivative of e^{x^2}+5x^2 ?
The derivative of e^{x^2}+5x^2 is e^{x^2}*2x+10x
What is the first derivative of e^{x^2}+5x^2 ?
The first derivative of e^{x^2}+5x^2 is e^{x^2}*2x+10x