What is the derivative of f(x)=sqrt(x^2+10) ?

The derivative of f(x)=sqrt(x^2+10) is x/(sqrt(x^2+10))

What is the first derivative of f(x)=sqrt(x^2+10) ?

The first derivative of f(x)=sqrt(x^2+10) is x/(sqrt(x^2+10))

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derivative of

f (x) = x^{2} + 10

\frac{x}{x ^{2} + 10}

Solution steps

\frac{d}{d x} (x^{2} + 10)

Apply the chain rule:

\frac{1}{2 x ^{2} + 10} \frac{d}{d x} (x^{2} + 10)

= \frac{1}{2 x ^{2} + 10} \frac{d}{d x} (x^{2} + 10)

\frac{d}{d x} (x^{2} + 10) = 2 x

= \frac{1}{2 x ^{2} + 10} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 10} \cdot 2 x : \frac{x}{x ^{2} + 10}

= \frac{x}{x ^{2} + 10}

\int sin^{2} (\frac{x}{4}) d x

y^{^{'}} + x y = x y^{- 1}

\frac{d}{d x} (x ey (x)^{2} + y ln (x))

\int \frac{1}{x ^{4} 1 + x ^{2}} d x

ln (1 - 3 y)

What is the derivative of f(x)=sqrt(x^2+10) ?
The derivative of f(x)=sqrt(x^2+10) is x/(sqrt(x^2+10))
What is the first derivative of f(x)=sqrt(x^2+10) ?
The first derivative of f(x)=sqrt(x^2+10) is x/(sqrt(x^2+10))