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

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

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

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

- e^{- t}

Solution steps

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

Simplify

e^{- t} cos (π) x : - e^{- t} x

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

Treat

t

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= - e^{- t} \cdot 1

Simplify

= - e^{- t}

\int \frac{ln ( \frac{1}{x} )}{x ^{2}} d x

x \to a lim ([2 f (x) - 5 g (x)])

\int 4 sec (x) d x

y = 3 - 2 x^{2}

2 x + 1

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