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

The derivative of e^{x^2y} is e^{x^2y}*2yx

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

The first derivative of e^{x^2y} is e^{x^2y}*2yx

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derivative of

e^{x^{2} y}

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

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial x} (2 ln (x) + y)

x \to 1 lim (e^{9 x^{3} - 9 x})

\frac{d ^{2} y}{d t ^{2}} = 150 y

2 x

\frac{d}{d x} (2 1 - x)

What is the derivative of e^{x^2y} ?
The derivative of e^{x^2y} is e^{x^2y}*2yx
What is the first derivative of e^{x^2y} ?
The first derivative of e^{x^2y} is e^{x^2y}*2yx