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Popular >

derivative of f(x)=2x^3+3x^2-12x+3

Solution

derivative of

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 3

Solution

6 x^{2} + 6 x - 12

Solution steps

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

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} (3)

\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} (3) = 0

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

Simplify

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

Popular Examples

y^{''}-y^'-2y=e^{2t}

y^{^{''}} - y^{^{'}} - 2 y = e^{2 t}

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\frac{d}{d t} (\frac{1}{t})

(6xy-2y^2)dx+(3x^2-4xy)dy=0

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derivative of 1/((x^2+x+1^3))

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

Frequently Asked Questions (FAQ)

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