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Popular >

derivative of 4x^3+6x^2-x+4

Solution

derivative of

4 x^{3} + 6 x^{2} - x + 4

Solution

12 x^{2} + 12 x - 1

Solution steps

\frac{d}{d x} (4 x^{3} + 6 x^{2} - x + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (6 x^{2}) - \frac{d x}{d x} + \frac{d}{d x} (4)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d x}{d x} = 1

\frac{d}{d x} (4) = 0

= 12 x^{2} + 12 x - 1 + 0

Simplify

= 12 x^{2} + 12 x - 1

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Frequently Asked Questions (FAQ)

What is the derivative of 4x^3+6x^2-x+4 ?
The derivative of 4x^3+6x^2-x+4 is 12x^2+12x-1
What is the first derivative of 4x^3+6x^2-x+4 ?
The first derivative of 4x^3+6x^2-x+4 is 12x^2+12x-1