What is the derivative of f(x)=2x^9ex ?

The derivative of f(x)=2x^9ex is 20ex^9

What is the first derivative of f(x)=2x^9ex ?

The first derivative of f(x)=2x^9ex is 20ex^9

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derivative of

f (x) = 2 x^{9} e x

20 e x^{9}

Solution steps

\frac{d}{d x} (2 x^{9} e x)

Simplify

2 x^{9} e x : 2 e x^{10}

= \frac{d}{d x} (2 e x^{10})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 e \frac{d}{d x} (x^{10})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 e 10 x^{10 - 1}

Simplify

= 20 e x^{9}

What is the derivative of f(x)=2x^9ex ?
The derivative of f(x)=2x^9ex is 20ex^9
What is the first derivative of f(x)=2x^9ex ?
The first derivative of f(x)=2x^9ex is 20ex^9