What is the derivative of e^xx+3e^x ?

The derivative of e^xx+3e^x is e^xx+4e^x

What is the first derivative of e^xx+3e^x ?

The first derivative of e^xx+3e^x is e^xx+4e^x

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\frac{d}{d x} (e^{x} x + 3 e^{x})

e^{x} x + 4 e^{x}

Solution steps

\frac{d}{d x} (e^{x} x + 3 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x} x) + \frac{d}{d x} (3 e^{x})

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

\frac{d}{d x} (3 e^{x}) = 3 e^{x}

= e^{x} x + e^{x} + 3 e^{x}

Simplify

= e^{x} x + 4 e^{x}

\frac{d}{d x} (2 x cos (y))

\frac{12}{x ^{3}}

\int - 8 d x

15 t^{2}

- 4 csc^{2} (x) + 4 sec^{2} (x)

What is the derivative of e^xx+3e^x ?
The derivative of e^xx+3e^x is e^xx+4e^x
What is the first derivative of e^xx+3e^x ?
The first derivative of e^xx+3e^x is e^xx+4e^x