What is (\partial)/(\partial x)(e^{-3y}cos(3x)) ?

The answer to (\partial)/(\partial x)(e^{-3y}cos(3x)) is -3e^{-3y}sin(3x)

Popular >

(\partial)/(\partial x)(e^{-3y}cos(3x))

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

- 3 e^{- 3 y} sin (3 x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= e^{- 3 y} \frac{\partial}{\partial x} (cos (3 x))

Apply the chain rule:

- sin (3 x) \frac{\partial}{\partial x} (3 x)

= - sin (3 x) \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

= e^{- 3 y} (- sin (3 x) \cdot 3)

Simplify

= - 3 e^{- 3 y} sin (3 x)

t \to - \infty lim (e^{t} + 1)

\frac{d}{d x} (0.01 (0.2 x^{2} + 4 x + 64)^{\frac{2}{3}})

\int_{0}^{10} x^{2} e^{- 0.08 x} d x

\frac{\partial}{\partial y} (y^{5} cos (3 x))

\int - \frac{x}{2} d x

What is (\partial)/(\partial x)(e^{-3y}cos(3x)) ?
The answer to (\partial)/(\partial x)(e^{-3y}cos(3x)) is -3e^{-3y}sin(3x)