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Popular Calculus >

derivative of y=2x^3+3x^2-12x+2

Solution

derivative of

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

Solution

6 x^{2} + 6 x - 12

Solution steps

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

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} (2)

\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} (2) = 0

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

Simplify

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

Graph

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Frequently Asked Questions (FAQ)

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