What is the derivative of x^3+3x^2-24x ?

The derivative of x^3+3x^2-24x is 3x^2+6x-24

What is the first derivative of x^3+3x^2-24x ?

The first derivative of x^3+3x^2-24x is 3x^2+6x-24

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\frac{d}{d x} (x^{3} + 3 x^{2} - 24 x)

3 x^{2} + 6 x - 24

Solution steps

\frac{d}{d x} (x^{3} + 3 x^{2} - 24 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (24 x)

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

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (24 x) = 24

= 3 x^{2} + 6 x - 24

What is the derivative of x^3+3x^2-24x ?
The derivative of x^3+3x^2-24x is 3x^2+6x-24
What is the first derivative of x^3+3x^2-24x ?
The first derivative of x^3+3x^2-24x is 3x^2+6x-24