What is the derivative of x^3-9x^2+24x+1 ?

The derivative of x^3-9x^2+24x+1 is 3x^2-18x+24

What is the first derivative of x^3-9x^2+24x+1 ?

The first derivative of x^3-9x^2+24x+1 is 3x^2-18x+24

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\frac{d}{d x} (x^{3} - 9 x^{2} + 24 x + 1)

3 x^{2} - 18 x + 24

Solution steps

\frac{d}{d x} (x^{3} - 9 x^{2} + 24 x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (24 x) + \frac{d}{d x} (1)

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

\frac{d}{d x} (9 x^{2}) = 18 x

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

\frac{d}{d x} (1) = 0

= 3 x^{2} - 18 x + 24 + 0

Simplify

= 3 x^{2} - 18 x + 24

\int (x + 4)^{2} (x - 2) d x

f (x) = arcsec (x) + arccsc (x)

\frac{d}{d x} (\frac{x ^{3}}{30} + \frac{5}{2 x})

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R (a) = (5 a + 1)^{2}

What is the derivative of x^3-9x^2+24x+1 ?
The derivative of x^3-9x^2+24x+1 is 3x^2-18x+24
What is the first derivative of x^3-9x^2+24x+1 ?
The first derivative of x^3-9x^2+24x+1 is 3x^2-18x+24