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

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

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

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

e^{y x^{2}} x^{2}

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= e^{y x^{2}} x^{2}

\int \frac{70}{( x + 1 ) ( x ^{2} + 9 ) ^{2}} d x

x \to 1 + lim (\frac{x + 7}{x + 2})

x - ln (x)

\frac{d y}{d x}, y = 2 x

7 x, \frac{1}{2} x, 18 - x^{2}

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