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Popular >

derivative of x^4+4x^3-2x^2-12x

Solution

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

Solution

4 x^{3} + 12 x^{2} - 4 x - 12

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (12 x) = 12

= 4 x^{3} + 12 x^{2} - 4 x - 12

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Frequently Asked Questions (FAQ)

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