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Popular >

derivative of sqrt(x^2-3x+12)

Solution

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

Solution

\frac{2 x - 3}{2 x ^{2} - 3 x + 12}

Solution steps

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

Apply the chain rule:

\frac{1}{2 x ^{2} - 3 x + 12} \frac{d}{d x} (x^{2} - 3 x + 12)

= \frac{1}{2 x ^{2} - 3 x + 12} \frac{d}{d x} (x^{2} - 3 x + 12)

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

= \frac{1}{2 x ^{2} - 3 x + 12} (2 x - 3)

Simplify

\frac{1}{2 x ^{2} - 3 x + 12} (2 x - 3) : \frac{2 x - 3}{2 x ^{2} - 3 x + 12}

= \frac{2 x - 3}{2 x ^{2} - 3 x + 12}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2-3x+12) ?
The derivative of sqrt(x^2-3x+12) is (2x-3)/(2sqrt(x^2-3x+12))
What is the first derivative of sqrt(x^2-3x+12) ?
The first derivative of sqrt(x^2-3x+12) is (2x-3)/(2sqrt(x^2-3x+12))