What is the derivative of-ce^{-x} ?

The derivative of-ce^{-x} is ce^{-x}

What is the first derivative of-ce^{-x} ?

The first derivative of-ce^{-x} is ce^{-x}

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\frac{d}{d x} (- c e^{- x})

c e^{- x}

Solution steps

\frac{d}{d x} (- c e^{- x})

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - c e^{- x} (- 1)

Simplify

= c e^{- x}

\int \frac{1}{( 2 x - 3 ) ( 3 x ^{2} + x )} d x

\int 2 x^{5} e^{x} d x

\int_{0}^{1} x e^{x} - e^{x} d x

y^{^{''}} + 4 y = sec (2 t)

\frac{\partial}{\partial x} ((2 x + 1)^{y})

What is the derivative of-ce^{-x} ?
The derivative of-ce^{-x} is ce^{-x}
What is the first derivative of-ce^{-x} ?
The first derivative of-ce^{-x} is ce^{-x}