What is (\partial)/(\partial x)(9ye^{8x}) ?

The answer to (\partial)/(\partial x)(9ye^{8x}) is 72e^{8x}y

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(\partial)/(\partial x)(9ye^{8x})

\frac{\partial}{\partial x} (9 y e^{8 x})

72 e^{8 x} y

Solution steps

\frac{\partial}{\partial x} (9 y e^{8 x})

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 y \frac{\partial}{\partial x} (e^{8 x})

Apply the chain rule:

e^{8 x} \frac{\partial}{\partial x} (8 x)

= e^{8 x} \frac{\partial}{\partial x} (8 x)

\frac{\partial}{\partial x} (8 x) = 8

= 9 y e^{8 x} \cdot 8

Simplify

= 72 e^{8 x} y

\frac{d}{d x} (\frac{1}{x ( ln ( x ) ) ^{3}})

\int ln (x) d x

\int \frac{5 e ^{x}}{e ^{2 x} + 10 e ^{x} + 25} d x

x \to 2 lim (- (x))

y^{^{''}} = t

What is (\partial)/(\partial x)(9ye^{8x}) ?
The answer to (\partial)/(\partial x)(9ye^{8x}) is 72e^{8x}y