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

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

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

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

e^{y^{2}} \cdot 2 y

Solution steps

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

Apply the chain rule:

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

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

\frac{\partial}{\partial y} (y^{2}) = 2 y

= e^{y^{2}} \cdot 2 y

t \cdot \frac{d y}{d t} = t^{3} + 25 t^{3} y

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

y = \frac{2}{3 x ^{3}}

\frac{d y}{d t} = 0.0572 (400 - y)

\int \frac{3 ln ( x + 7 )}{x ^{2}} d x

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