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

The derivative of f(x)=x*2x is 4x

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

The first derivative of f(x)=x*2x is 4x

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derivative of

f (x) = x \cdot 2 x

4 x

Solution steps

\frac{d}{d x} (x \cdot 2 x)

Simplify

x \cdot 2 x : 2 x^{2}

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 2 \cdot 2 x^{2 - 1}

Simplify

= 4 x

What is the derivative of f(x)=x*2x ?
The derivative of f(x)=x*2x is 4x
What is the first derivative of f(x)=x*2x ?
The first derivative of f(x)=x*2x is 4x