What is (\partial)/(\partial x)(e^{7xy}) ?

The answer to (\partial)/(\partial x)(e^{7xy}) is e^{7xy}*7y

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(\partial)/(\partial x)(e^{7xy})

\frac{\partial}{\partial x} (e^{7 x y})

e^{7 x y} \cdot 7 y

Solution steps

\frac{\partial}{\partial x} (e^{7 x y})

Treat

y

as a constant

Apply the chain rule:

e^{7 x y} \frac{\partial}{\partial x} (7 x y)

= e^{7 x y} \frac{\partial}{\partial x} (7 x y)

\frac{\partial}{\partial x} (7 x y) = 7 y

= e^{7 x y} \cdot 7 y

\int sin^{3} (x) - sin^{5} (x) d x

f (x) = \frac{x}{x ^{2} - 4}

9 x^{2} y^{^{'}} = y^{^{'}} + 6 x e^{- y}

y^{^{'}} = y (x y^{5} + 1)

y = ∣ x ∣, y = x^{2} - 1

What is (\partial)/(\partial x)(e^{7xy}) ?
The answer to (\partial)/(\partial x)(e^{7xy}) is e^{7xy}*7y