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Popular >

derivative of sqrt(3x^2-6x+9)

Solution

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

Solution

\frac{3 ( x - 1 )}{3 x ^{2} - 6 x + 9}

Solution steps

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

Apply the chain rule:

\frac{1}{2 3 x ^{2} - 6 x + 9} \frac{d}{d x} (3 x^{2} - 6 x + 9)

= \frac{1}{2 3 x ^{2} - 6 x + 9} \frac{d}{d x} (3 x^{2} - 6 x + 9)

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

= \frac{1}{2 3 x ^{2} - 6 x + 9} (6 x - 6)

Simplify

\frac{1}{2 3 x ^{2} - 6 x + 9} (6 x - 6) : \frac{3 ( x - 1 )}{3 x ^{2} - 6 x + 9}

= \frac{3 ( x - 1 )}{3 x ^{2} - 6 x + 9}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3x^2-6x+9) ?
The derivative of sqrt(3x^2-6x+9) is (3(x-1))/(sqrt(3x^2-6x+9))
What is the first derivative of sqrt(3x^2-6x+9) ?
The first derivative of sqrt(3x^2-6x+9) is (3(x-1))/(sqrt(3x^2-6x+9))