What is the derivative of 100e^{-x-2y} ?

The derivative of 100e^{-x-2y} is 100e^{-x-2y}(-1-2(dy)/(dx))

What is the first derivative of 100e^{-x-2y} ?

The first derivative of 100e^{-x-2y} is 100e^{-x-2y}(-1-2(dy)/(dx))

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

100 e^{- x - 2 y} (- 1 - 2 \frac{d y}{d x})

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

\int 8 sin^{2} (x) cos^{2} (x) d x

y = \frac{1}{x ^{6}}, (2, \frac{1}{64})

\int 1 x^{3} d x

f (x) = \frac{6 x}{x ^{2} + 1}, (0, 0)

\int \frac{1}{48} x d x

What is the derivative of 100e^{-x-2y} ?
The derivative of 100e^{-x-2y} is 100e^{-x-2y}(-1-2(dy)/(dx))
What is the first derivative of 100e^{-x-2y} ?
The first derivative of 100e^{-x-2y} is 100e^{-x-2y}(-1-2(dy)/(dx))