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Popular >

derivative of 2x^3+9x^2+9x+6

Solution

derivative of

2 x^{3} + 9 x^{2} + 9 x + 6

Solution

6 x^{2} + 18 x + 9

Solution steps

\frac{d}{d x} (2 x^{3} + 9 x^{2} + 9 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (9 x) + \frac{d}{d x} (6)

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

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (6) = 0

= 6 x^{2} + 18 x + 9 + 0

Simplify

= 6 x^{2} + 18 x + 9

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n = 0 \sum \infty \frac{1}{( 0.5 ) ^{n}}

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x = 2 y, x = y^{2} - 15

limit as x approaches 0 of ((3+x)^3-9)/x

x \to 0 lim (\frac{( 3 + x ) ^{3} - 9}{x})

(\partial)/(\partial x)(zln(x))

\frac{\partial}{\partial x} (z ln (x))

(dy)/(dx)=y(xy^6-1)

\frac{d y}{d x} = y (x y^{6} - 1)

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3+9x^2+9x+6 ?
The derivative of 2x^3+9x^2+9x+6 is 6x^2+18x+9
What is the first derivative of 2x^3+9x^2+9x+6 ?
The first derivative of 2x^3+9x^2+9x+6 is 6x^2+18x+9