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Popular >

derivative of sqrt(x^2+x+1)

Solution

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

Solution

\frac{2 x + 1}{2 x ^{2} + x + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2 x + 1}{2 x ^{2} + x + 1}

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\frac{\partial}{\partial y} (x^{2} - x y + y^{2} - y)

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\int x^{5} (cos (x^{3})) d x

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\frac{d}{d x} (\frac{1}{3} π r (x) (x)^{2} h)

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\int_{0}^{7} \frac{1}{9 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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