What is the derivative of x^3-12x^2+45x ?

The derivative of x^3-12x^2+45x is 3x^2-24x+45

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

The first derivative of x^3-12x^2+45x is 3x^2-24x+45

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

3 x^{2} - 24 x + 45

Solution steps

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

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} (x^{3}) = 3 x^{2}

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

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

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

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