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

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

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

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

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

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

2 y^{^{''}} + 12 y^{^{'}} + 50 y = 0, y (0) = 0, y^{^{'}} (0) = - 8

y = x + 8, (8, 4)

\int 8 e^{t} - 5 d t

\frac{8 x ^{2} + 18 x}{( 9 + 8 x ) ^{2}}

x^{\frac{1}{6}}

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