What is the derivative of y=sqrt(x^2+5) ?

The derivative of y=sqrt(x^2+5) is x/(sqrt(x^2+5))

What is the first derivative of y=sqrt(x^2+5) ?

The first derivative of y=sqrt(x^2+5) is x/(sqrt(x^2+5))

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derivative of

y = x^{2} + 5

\frac{x}{x ^{2} + 5}

Solution steps

\frac{d}{d x} (x^{2} + 5)

Apply the chain rule:

\frac{1}{2 x ^{2} + 5} \frac{d}{d x} (x^{2} + 5)

= \frac{1}{2 x ^{2} + 5} \frac{d}{d x} (x^{2} + 5)

\frac{d}{d x} (x^{2} + 5) = 2 x

= \frac{1}{2 x ^{2} + 5} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 5} \cdot 2 x : \frac{x}{x ^{2} + 5}

= \frac{x}{x ^{2} + 5}

\int e^{- x} (1 - x) d x

\frac{\partial}{\partial x} (\frac{x}{x ^{7} - y ^{6}})

\int (x^{2} - 5)^{5} (2 x) d x

\frac{d}{d x} (\frac{5}{( 4 x ) ^{- 2}})

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

What is the derivative of y=sqrt(x^2+5) ?
The derivative of y=sqrt(x^2+5) is x/(sqrt(x^2+5))
What is the first derivative of y=sqrt(x^2+5) ?
The first derivative of y=sqrt(x^2+5) is x/(sqrt(x^2+5))