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Popular >

derivative of sqrt(x^2+11)

Solution

derivative of

x^{2} + 11

Solution

\frac{x}{x ^{2} + 11}

Solution steps

\frac{d}{d x} (x^{2} + 11)

Apply the chain rule:

\frac{1}{2 x ^{2} + 11} \frac{d}{d x} (x^{2} + 11)

= \frac{1}{2 x ^{2} + 11} \frac{d}{d x} (x^{2} + 11)

\frac{d}{d x} (x^{2} + 11) = 2 x

= \frac{1}{2 x ^{2} + 11} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 11} \cdot 2 x : \frac{x}{x ^{2} + 11}

= \frac{x}{x ^{2} + 11}

Popular Examples

derivative of c/x+(2a)/(x^3)+8 derivative of

\frac{c}{x} + \frac{2 a}{x ^{3}} + 8

derivative of 2/2

\frac{d}{d x} (\frac{2}{2})

tangent of f(x)=(3x)/(x^2-6),\at x=3 tangent of

f (x) = \frac{3 x}{x ^{2} - 6}, at x = 3

2y^{''}-9y^'-18y=0,y(0)=8,y^'(0)=7

2 y^{^{''}} - 9 y^{^{'}} - 18 y = 0, y (0) = 8, y^{^{'}} (0) = 7

derivative of (1+csc(x^9)/(1-cot(x^9)))

\frac{d}{d x} (\frac{1 + csc ( x ^{9} )}{1 - cot ( x ^{9} )})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2+11) ?
The derivative of sqrt(x^2+11) is x/(sqrt(x^2+11))
What is the first derivative of sqrt(x^2+11) ?
The first derivative of sqrt(x^2+11) is x/(sqrt(x^2+11))