What is the derivative of f(x)=3x^2-24x+45 ?

The derivative of f(x)=3x^2-24x+45 is 6x-24

What is the first derivative of f(x)=3x^2-24x+45 ?

The first derivative of f(x)=3x^2-24x+45 is 6x-24

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derivative of

f (x) = 3 x^{2} - 24 x + 45

6 x - 24

Solution steps

\frac{d}{d x} (3 x^{2} - 24 x + 45)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (24 x) + \frac{d}{d x} (45)

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

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

\frac{d}{d x} (45) = 0

= 6 x - 24 + 0

Simplify

= 6 x - 24

What is the derivative of f(x)=3x^2-24x+45 ?
The derivative of f(x)=3x^2-24x+45 is 6x-24
What is the first derivative of f(x)=3x^2-24x+45 ?
The first derivative of f(x)=3x^2-24x+45 is 6x-24