What is (\partial)/(\partial x)(e^{-7x}cos(7pit)) ?

The answer to (\partial)/(\partial x)(e^{-7x}cos(7pit)) is -7e^{-7x}cos(7pit)

Popular >

(\partial)/(\partial x)(e^{-7x}cos(7pit))

\frac{\partial}{\partial x} (e^{- 7 x} cos (7 π t))

- 7 e^{- 7 x} cos (7 π t)

Solution steps

\frac{\partial}{\partial x} (e^{- 7 x} cos (7 π t))

Treat

t

as a constant

Take the constant out:

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

= cos (7 π t) \frac{\partial}{\partial x} (e^{- 7 x})

Apply the chain rule:

e^{- 7 x} \frac{\partial}{\partial x} (- 7 x)

= e^{- 7 x} \frac{\partial}{\partial x} (- 7 x)

\frac{\partial}{\partial x} (- 7 x) = - 7

= cos (7 π t) e^{- 7 x} (- 7)

Simplify

= - 7 e^{- 7 x} cos (7 π t)

n = 1 \sum \infty \frac{n ^{2}}{n + 5}

\int_{0}^{π} tan (x) d x

n = 1 \sum \infty \frac{1}{5 n}

\int \frac{tan ( x ) - 1}{sec ^{2} ( x )} d x

cos (x) y^{^{'}} + y sin (x) = 1

What is (\partial)/(\partial x)(e^{-7x}cos(7pit)) ?
The answer to (\partial)/(\partial x)(e^{-7x}cos(7pit)) is -7e^{-7x}cos(7pit)