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Popular >

derivative of x^3-12x^2+45x+9

Solution

\frac{d}{d x} (x^{3} - 12 x^{2} + 45 x + 9)

Solution

3 x^{2} - 24 x + 45

Solution steps

\frac{d}{d x} (x^{3} - 12 x^{2} + 45 x + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (45 x) + \frac{d}{d x} (9)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (45 x) = 45

\frac{d}{d x} (9) = 0

= 3 x^{2} - 24 x + 45 + 0

Simplify

= 3 x^{2} - 24 x + 45

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Frequently Asked Questions (FAQ)

What is the derivative of x^3-12x^2+45x+9 ?
The derivative of x^3-12x^2+45x+9 is 3x^2-24x+45
What is the first derivative of x^3-12x^2+45x+9 ?
The first derivative of x^3-12x^2+45x+9 is 3x^2-24x+45