What is the derivative of y=sqrt(x^2+11) ?

The derivative of y=sqrt(x^2+11) is x/(sqrt(x^2+11))

What is the first derivative of y=sqrt(x^2+11) ?

The first derivative of y=sqrt(x^2+11) is x/(sqrt(x^2+11))

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derivative of

y = x^{2} + 11

\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}

\frac{\partial}{\partial z} (x - z)

\frac{\partial}{\partial x} (x^{5} y^{- \frac{1}{2}})

\frac{\partial}{\partial x} (\frac{3 t}{2 s})

\int \frac{cosh ( x )}{sinh ^{2} ( x )} d x

(x^{3} + 2 x) e^{x}

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