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

The answer to (\partial)/(\partial x)(e^{8y}sin(-8x)) is -e^{8y}cos(8x)*8

Popular >

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

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

- e^{8 y} cos (8 x) \cdot 8

Solution steps

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

Simplify

e^{8 y} sin (- 8 x) : - e^{8 y} sin (8 x)

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - e^{8 y} cos (8 x) \cdot 8

\int x (sin (x))^{2} d x

f (x) = x + 2 sin (x)

x \to 1 lim (\frac{1 - x}{ln ( x )})

\int \frac{( x ^{3} + 5 )}{x ^{2}} d x

x \to - 2 lim (∣ x + 2 ∣)

What is (\partial)/(\partial x)(e^{8y}sin(-8x)) ?
The answer to (\partial)/(\partial x)(e^{8y}sin(-8x)) is -e^{8y}cos(8x)*8