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Popular >

derivative of 2x^3+15x^2-84x+10

Solution

\frac{d}{d x} (2 x^{3} + 15 x^{2} - 84 x + 10)

Solution

6 x^{2} + 30 x - 84

Solution steps

\frac{d}{d x} (2 x^{3} + 15 x^{2} - 84 x + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (15 x^{2}) - \frac{d}{d x} (84 x) + \frac{d}{d x} (10)

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

\frac{d}{d x} (15 x^{2}) = 30 x

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

\frac{d}{d x} (10) = 0

= 6 x^{2} + 30 x - 84 + 0

Simplify

= 6 x^{2} + 30 x - 84

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Frequently Asked Questions (FAQ)

What is the derivative of 2x^3+15x^2-84x+10 ?
The derivative of 2x^3+15x^2-84x+10 is 6x^2+30x-84
What is the first derivative of 2x^3+15x^2-84x+10 ?
The first derivative of 2x^3+15x^2-84x+10 is 6x^2+30x-84