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

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(\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))

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

\frac{d}{d x} (f (x) (x f (x) (x f (x))))

\frac{d}{d x} (3^{x l n (x)})

lo g_{e} (sin (2 x) + cot (2 x))

y = \frac{1}{2} x

\int_{π}^{2 π} (t - π) e^{- s t} d t

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