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Popular >

derivative of sqrt(3x^2-4x+6)

Solution

\frac{d}{d x} (3 x^{2} - 4 x + 6)

Solution

\frac{3 x - 2}{3 x ^{2} - 4 x + 6}

Solution steps

\frac{d}{d x} (3 x^{2} - 4 x + 6)

Apply the chain rule:

\frac{1}{2 3 x ^{2} - 4 x + 6} \frac{d}{d x} (3 x^{2} - 4 x + 6)

= \frac{1}{2 3 x ^{2} - 4 x + 6} \frac{d}{d x} (3 x^{2} - 4 x + 6)

\frac{d}{d x} (3 x^{2} - 4 x + 6) = 6 x - 4

= \frac{1}{2 3 x ^{2} - 4 x + 6} (6 x - 4)

Simplify

\frac{1}{2 3 x ^{2} - 4 x + 6} (6 x - 4) : \frac{3 x - 2}{3 x ^{2} - 4 x + 6}

= \frac{3 x - 2}{3 x ^{2} - 4 x + 6}

Popular Examples

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y \to - 3 lim (y)

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\int - e^{- 2 y} d y

(dy)/(dx)=2x-3y,y(0)= 1/3

\frac{d y}{d x} = 2 x - 3 y, y (0) = \frac{1}{3}

integral of (x^3)/(sqrt(16x^2+256))

\int \frac{x ^{3}}{16 x ^{2} + 256} d x

integral from 0 to 2pi of sin^2(14x)

\int_{0}^{2 π} sin^{2} (14 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3x^2-4x+6) ?
The derivative of sqrt(3x^2-4x+6) is (3x-2)/(sqrt(3x^2-4x+6))
What is the first derivative of sqrt(3x^2-4x+6) ?
The first derivative of sqrt(3x^2-4x+6) is (3x-2)/(sqrt(3x^2-4x+6))