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

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

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

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

e^{2 x y} \cdot 2 y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

\frac{d}{d x} (4 + 8 x - 5 x^{2})

\int 8 e^{4 y} d y

\frac{1}{( s ^{2} + 3 )}

4 - x^{2}, x

- 2 y^{^{''}} + 2 y^{^{'}} = 0, y (1) = - 2, y^{^{'}} (- 2) = 3

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