What is the derivative of g(x)=3x^4 ?

The derivative of g(x)=3x^4 is 12x^3

What is the first derivative of g(x)=3x^4 ?

The first derivative of g(x)=3x^4 is 12x^3

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derivative of

g (x) = 3 x^{4}

12 x^{3}

Solution steps

\frac{d}{d x} (3 x^{4})

Take the constant out:

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

= 3 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 3 \cdot 4 x^{4 - 1}

Simplify

= 12 x^{3}

What is the derivative of g(x)=3x^4 ?
The derivative of g(x)=3x^4 is 12x^3
What is the first derivative of g(x)=3x^4 ?
The first derivative of g(x)=3x^4 is 12x^3