What is (\partial)/(\partial x)(e^{2x^2}) ?

The answer to (\partial)/(\partial x)(e^{2x^2}) is e^{2x^2}*4x

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(\partial)/(\partial x)(e^{2x^2})

\frac{\partial}{\partial x} (e^{2 x^{2}})

e^{2 x^{2}} \cdot 4 x

Solution steps

\frac{\partial}{\partial x} (e^{2 x^{2}})

Apply the chain rule:

e^{2 x^{2}} \frac{\partial}{\partial x} (2 x^{2})

= e^{2 x^{2}} \frac{\partial}{\partial x} (2 x^{2})

\frac{\partial}{\partial x} (2 x^{2}) = 4 x

= e^{2 x^{2}} \cdot 4 x

f (x) = 3 x

x^{2} - 5 x - 1

\frac{d}{d x} (3 x cos (3 x))

(t^{2} + 1) d t + (x^{2} + x) d x = 0

f (x) = - 5 cot (x) + 3 sec (x)

What is (\partial)/(\partial x)(e^{2x^2}) ?
The answer to (\partial)/(\partial x)(e^{2x^2}) is e^{2x^2}*4x