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Popular >

derivative of y=sqrt(x^2+2)

Solution

derivative of

y = x^{2} + 2

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

limit as x approaches infinity of (x^2)/(e^{x^3)}

x \to \infty lim (\frac{x ^{2}}{e ^{x^{3}}})

derivative of 17cos(x)

\frac{d}{d x} (17 cos (x))

limit as x approaches-2 of (x^2+5)/(x+2)

x \to - 2 lim (\frac{x ^{2} + 5}{x + 2})

laplacetransform F(T)= 7/5 laplace transform

F (T) = \frac{7}{5}

y^{''}-a(y+b)=0

y^{^{''}} - a (y + b) = 0

Frequently Asked Questions (FAQ)

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