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Popular >

derivative of x^3-3x^2-24x+32

Solution

\frac{d}{d x} (x^{3} - 3 x^{2} - 24 x + 32)

Solution

3 x^{2} - 6 x - 24

Solution steps

\frac{d}{d x} (x^{3} - 3 x^{2} - 24 x + 32)

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} (32)

\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

\frac{d}{d x} (32) = 0

= 3 x^{2} - 6 x - 24 + 0

Simplify

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

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of x^3-3x^2-24x+32 ?
The derivative of x^3-3x^2-24x+32 is 3x^2-6x-24
What is the first derivative of x^3-3x^2-24x+32 ?
The first derivative of x^3-3x^2-24x+32 is 3x^2-6x-24