What is the derivative of e^xx+7e^x ?

The derivative of e^xx+7e^x is e^xx+8e^x

What is the first derivative of e^xx+7e^x ?

The first derivative of e^xx+7e^x is e^xx+8e^x

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\frac{d}{d x} (e^{x} x + 7 e^{x})

e^{x} x + 8 e^{x}

Solution steps

\frac{d}{d x} (e^{x} x + 7 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x} x) + \frac{d}{d x} (7 e^{x})

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

\frac{d}{d x} (7 e^{x}) = 7 e^{x}

= e^{x} x + e^{x} + 7 e^{x}

Simplify

= e^{x} x + 8 e^{x}

\int (e^{x} - 3)^{2} d x

10 x^{4} - 10 x^{2}, 9 x^{2}

\frac{\partial}{\partial y} ((2 - x) (y - 2) (3 - x - y))

\int \frac{2}{x ^{2} + x} d x

\frac{d}{d x} (30 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

What is the derivative of e^xx+7e^x ?
The derivative of e^xx+7e^x is e^xx+8e^x
What is the first derivative of e^xx+7e^x ?
The first derivative of e^xx+7e^x is e^xx+8e^x