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Popular >

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

Solution

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

Solution

6 x^{2} - 6 x - 12

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

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

Simplify

= 6 x^{2} - 6 x - 12

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x \to 0 lim (\frac{3 cos ( x )}{x})

Frequently Asked Questions (FAQ)

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