What is (\partial)/(\partial x)(56e^{8x}y) ?

The answer to (\partial)/(\partial x)(56e^{8x}y) is 448e^{8x}y

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(\partial)/(\partial x)(56e^{8x}y)

\frac{\partial}{\partial x} (56 e^{8 x} y)

448 e^{8 x} y

Solution steps

\frac{\partial}{\partial x} (56 e^{8 x} y)

Treat

y

as a constant

Take the constant out:

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

= 56 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

= 56 y e^{8 x} \cdot 8

Simplify

= 448 e^{8 x} y

\int_{0}^{\frac{π}{2}} (sin (2 x)) d x

x \to 1 - lim (2 x^{3} + 5 x)

\int_{- 2}^{5} (- 2) d x

f (x) = x^{2} + 5 x - 3

x \to 7 lim (f (x))

What is (\partial)/(\partial x)(56e^{8x}y) ?
The answer to (\partial)/(\partial x)(56e^{8x}y) is 448e^{8x}y