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Popular >

derivative of 3x^4-4x^3-12x^2+1

Solution

\frac{d}{d x} (3 x^{4} - 4 x^{3} - 12 x^{2} + 1)

Solution

12 x^{3} - 12 x^{2} - 24 x

Solution steps

\frac{d}{d x} (3 x^{4} - 4 x^{3} - 12 x^{2} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{4}) - \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (1)

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

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (1) = 0

= 12 x^{3} - 12 x^{2} - 24 x + 0

Simplify

= 12 x^{3} - 12 x^{2} - 24 x

Graph

Popular Examples

integral of (x^2+4x+10)/(x^3+2x^2+5x)

\int \frac{x ^{2} + 4 x + 10}{x ^{3} + 2 x ^{2} + 5 x} d x

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\int \frac{6}{( x + 1 ) ^{2}} d x

limit as x approaches-3 of (3-x)/(x+3)

x \to - 3 lim (\frac{3 - x}{x + 3})

Frequently Asked Questions (FAQ)

What is the derivative of 3x^4-4x^3-12x^2+1 ?
The derivative of 3x^4-4x^3-12x^2+1 is 12x^3-12x^2-24x
What is the first derivative of 3x^4-4x^3-12x^2+1 ?
The first derivative of 3x^4-4x^3-12x^2+1 is 12x^3-12x^2-24x