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Popular >

derivative of 6x^3-9x^2+5x-2

Solution

derivative of

6 x^{3} - 9 x^{2} + 5 x - 2

Solution

18 x^{2} - 18 x + 5

Solution steps

\frac{d}{d x} (6 x^{3} - 9 x^{2} + 5 x - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{3}) - \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (5 x) - \frac{d}{d x} (2)

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (2) = 0

= 18 x^{2} - 18 x + 5 - 0

Simplify

= 18 x^{2} - 18 x + 5

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Frequently Asked Questions (FAQ)

What is the derivative of 6x^3-9x^2+5x-2 ?
The derivative of 6x^3-9x^2+5x-2 is 18x^2-18x+5
What is the first derivative of 6x^3-9x^2+5x-2 ?
The first derivative of 6x^3-9x^2+5x-2 is 18x^2-18x+5