What is the derivative of f(x)=4x^3-18x^2 ?

The derivative of f(x)=4x^3-18x^2 is 12x^2-36x

What is the first derivative of f(x)=4x^3-18x^2 ?

The first derivative of f(x)=4x^3-18x^2 is 12x^2-36x

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derivative of

f (x) = 4 x^{3} - 18 x^{2}

12 x^{2} - 36 x

Solution steps

\frac{d}{d x} (4 x^{3} - 18 x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (18 x^{2})

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (18 x^{2}) = 36 x

= 12 x^{2} - 36 x

What is the derivative of f(x)=4x^3-18x^2 ?
The derivative of f(x)=4x^3-18x^2 is 12x^2-36x
What is the first derivative of f(x)=4x^3-18x^2 ?
The first derivative of f(x)=4x^3-18x^2 is 12x^2-36x