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Popular >

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

Solution

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

Solution

12 x^{3} + 6 x^{2} + 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

= 12 x^{3} + 6 x^{2} + 2 x - 0

Simplify

= 12 x^{3} + 6 x^{2} + 2 x

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Frequently Asked Questions (FAQ)

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