What is the derivative of ax+e^{ax} ?

The derivative of ax+e^{ax} is a+e^{ax}a

What is the first derivative of ax+e^{ax} ?

The first derivative of ax+e^{ax} is a+e^{ax}a

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\frac{d}{d x} (a x + e^{a x})

a + e^{a x} a

Solution steps

\frac{d}{d x} (a x + e^{a x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (a x) = a

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

= a + e^{a x} a

\int 28 x^{3} - 18 x^{2} + 8 x d x

\int 5 e^{8 x} d x

(cos (x))^{^{'}}

\int \frac{e ^{x} - e ^{- x}}{e ^{2 x}} d x

x \to 3 lim ([3 (8) (- 10)])

What is the derivative of ax+e^{ax} ?
The derivative of ax+e^{ax} is a+e^{ax}a
What is the first derivative of ax+e^{ax} ?
The first derivative of ax+e^{ax} is a+e^{ax}a