What is (\partial)/(\partial x)(e^{4xy}) ?

The answer to (\partial)/(\partial x)(e^{4xy}) is e^{4xy}*4y

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(\partial)/(\partial x)(e^{4xy})

\frac{\partial}{\partial x} (e^{4 x y})

e^{4 x y} \cdot 4 y

Solution steps

\frac{\partial}{\partial x} (e^{4 x y})

Treat

y

as a constant

Apply the chain rule:

e^{4 x y} \frac{\partial}{\partial x} (4 x y)

= e^{4 x y} \frac{\partial}{\partial x} (4 x y)

\frac{\partial}{\partial x} (4 x y) = 4 y

= e^{4 x y} \cdot 4 y

\frac{d}{d x} (x^{3} sin (2 x))

n = 1 \sum \infty \frac{( 3 ^{n + 1} )}{( 4 ^{n - 1} )}

\frac{d}{d x} (\frac{600}{1 + 49 ( 0.6 ) ^{x}})

\frac{d}{d x} (2 x + y^{2} - z^{2})

\frac{d}{d x} (10 tan (x))

What is (\partial)/(\partial x)(e^{4xy}) ?
The answer to (\partial)/(\partial x)(e^{4xy}) is e^{4xy}*4y