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

The derivative of f(x)=2x^e is 2ex^{e-1}

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

The first derivative of f(x)=2x^e is 2ex^{e-1}

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derivative of

f (x) = 2 x^{e}

2 e x^{e - 1}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 2 e x^{e - 1}

What is the derivative of f(x)=2x^e ?
The derivative of f(x)=2x^e is 2ex^{e-1}
What is the first derivative of f(x)=2x^e ?
The first derivative of f(x)=2x^e is 2ex^{e-1}