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Popular >

derivative of 2sqrt(1+x^2)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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\int cot (10 x) csc^{4} (10 z)

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\int x^{3} - 4 x^{- 2} + 5 d x

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\int_{8}^{24} (x + \frac{1}{x}) d x

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Frequently Asked Questions (FAQ)

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