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Popular >

(x*e^x)^'

Solution

(x \cdot e^{x})^{^{'}}

Solution

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

Solution steps

(x e^{x})^{'}

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = e^{x}

= x^{^{'}} e^{x} + (e^{x})^{^{'}} x

x^{'} = 1

(e^{x})^{'} = e^{x}

= 1 \cdot e^{x} + e^{x} x

Simplify

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

Graph

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\int \frac{2}{x ^{3} x ^{4} - 25} d x

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\int \frac{1}{x ^{3} x ^{2} - 4} d x

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\int 9 x^{2} - 30 x + 15 d x

Frequently Asked Questions (FAQ)

What is the (x*e^x)^' ?
The (x*e^x)^' is e^x+e^xx
What is the first (x*e^x)^' ?
The first (x*e^x)^' is e^x+e^xx