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

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

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

\frac{\partial}{\partial x} (e^{- x} cos (π t))

- e^{- x} cos (π t)

Solution steps

\frac{\partial}{\partial x} (e^{- x} cos (π t))

Treat

t

as a constant

Take the constant out:

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

= cos (π t) \frac{\partial}{\partial x} (e^{- x})

Apply the chain rule:

e^{- x} \frac{\partial}{\partial x} (- x)

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

\frac{\partial}{\partial x} (- x) = - 1

= cos (π t) e^{- x} (- 1)

Simplify

= - e^{- x} cos (π t)

\int \frac{x ^{2} - 1}{x ^{2}} d x

\int \frac{x}{x} d x

\frac{1}{2} x^{3} + 2, x + 1, x = 0, x = 2

x \to 0 lim (+ (tan (7 x))^{x})

\frac{d}{d x} ((x^{4} + x^{2} + 1)^{4})

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