What is the derivative of c*e^x ?

The derivative of c*e^x is ce^x

What is the first derivative of c*e^x ?

The first derivative of c*e^x is ce^x

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\frac{d}{d x} (c \cdot 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 common derivative:

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

= c e^{x}

\int 4 + (e^{x} - e^{- x})^{2} d x

f (x) = - \frac{8}{( 1 + 4 x ) ^{2}}

\int (t^{2} + 1) e^{t^{3} + 3 t} d t

\int cos (\frac{π x}{4}) d x

f (x) = x^{4} - 4 x^{2} + 4