What is (\partial)/(\partial x)(100e^{(-x-2y)}) ?

The answer to (\partial)/(\partial x)(100e^{(-x-2y)}) is -100e^{-x-2y}

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(\partial)/(\partial x)(100e^{(-x-2y)})

\frac{\partial}{\partial x} (100 e^{(- x - 2 y)})

- 100 e^{- x - 2 y}

Solution steps

\frac{\partial}{\partial x} (100 e^{(- x - 2 y)})

Treat

y

as a constant

Take the constant out:

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

= 100 \frac{\partial}{\partial x} (e^{- x - 2 y})

Apply the chain rule:

e^{- x - 2 y} \frac{\partial}{\partial x} (- x - 2 y)

= e^{- x - 2 y} \frac{\partial}{\partial x} (- x - 2 y)

\frac{\partial}{\partial x} (- x - 2 y) = - 1

= 100 e^{- x - 2 y} (- 1)

Simplify

= - 100 e^{- x - 2 y}

x \to 1 lim (g (x) (f (x)))

x \to 4 lim (\frac{( 3 x ^{2} - 17 x + 20 )}{4 x ^{2} - 25 x + 36})

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

\frac{1}{sin ( x )}

f (x) = e^{- 2 x}

What is (\partial)/(\partial x)(100e^{(-x-2y)}) ?
The answer to (\partial)/(\partial x)(100e^{(-x-2y)}) is -100e^{-x-2y}