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

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

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

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

- e^{- x} tan (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= tan (y) \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

= tan (y) e^{- x} (- 1)

Simplify

= - e^{- x} tan (y)

\int + \frac{54}{1 - cos ( 9 x )} d x

x^{2} + 3, at (x = 1)

\frac{s ^{2} - 1}{s ^{4} + 3 s ^{2} + 2}

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

- t

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