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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

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\frac{d y}{d x} + y = e^{6 x}

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Frequently Asked Questions (FAQ)

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