What is (\partial)/(\partial x)(3ye^{8x}) ?

The answer to (\partial)/(\partial x)(3ye^{8x}) is 24e^{8x}y

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(\partial)/(\partial x)(3ye^{8x})

\frac{\partial}{\partial x} (3 y e^{8 x})

24 e^{8 x} y

Solution steps

\frac{\partial}{\partial x} (3 y e^{8 x})

Treat

y

as a constant

Take the constant out:

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

= 3 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

= 3 y e^{8 x} \cdot 8

Simplify

= 24 e^{8 x} y

\frac{\partial}{\partial x} (2 x - 8 y + 8 x y)

x^{4} + 5 y^{4} \frac{x ^{5} + 4 d y}{d x} = 0

(7, 2), (- 11, - 13)

\int \frac{1}{36 e ^{- 2 x} + e ^{2 x}} d x

\frac{d y}{d t} = - y

What is (\partial)/(\partial x)(3ye^{8x}) ?
The answer to (\partial)/(\partial x)(3ye^{8x}) is 24e^{8x}y