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Popular >

derivative of 4x^3-33x^2+84x-60

Solution

derivative of

4 x^{3} - 33 x^{2} + 84 x - 60

Solution

12 x^{2} - 66 x + 84

Solution steps

\frac{d}{d x} (4 x^{3} - 33 x^{2} + 84 x - 60)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (33 x^{2}) + \frac{d}{d x} (84 x) - \frac{d}{d x} (60)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (33 x^{2}) = 66 x

\frac{d}{d x} (84 x) = 84

\frac{d}{d x} (60) = 0

= 12 x^{2} - 66 x + 84 - 0

Simplify

= 12 x^{2} - 66 x + 84

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Frequently Asked Questions (FAQ)

What is the derivative of 4x^3-33x^2+84x-60 ?
The derivative of 4x^3-33x^2+84x-60 is 12x^2-66x+84
What is the first derivative of 4x^3-33x^2+84x-60 ?
The first derivative of 4x^3-33x^2+84x-60 is 12x^2-66x+84