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Popular >

derivative of f(x)=sqrt(x^2+21)

Solution

derivative of

f (x) = x^{2} + 21

Solution

\frac{x}{x ^{2} + 21}

Solution steps

\frac{d}{d x} (x^{2} + 21)

Apply the chain rule:

\frac{1}{2 x ^{2} + 21} \frac{d}{d x} (x^{2} + 21)

= \frac{1}{2 x ^{2} + 21} \frac{d}{d x} (x^{2} + 21)

\frac{d}{d x} (x^{2} + 21) = 2 x

= \frac{1}{2 x ^{2} + 21} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 21} \cdot 2 x : \frac{x}{x ^{2} + 21}

= \frac{x}{x ^{2} + 21}

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

(d^3)/(dx^3)((1-3x)/(1+3x))

\frac{d ^{3}}{d x ^{3}} (\frac{1 - 3 x}{1 + 3 x})

limit as x approaches 0 of (sin(4x))/((2x))

x \to 0 lim (\frac{sin ( 4 x )}{( 2 x )})

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\int_{2}^{\infty} y e^{- 5 y} d y

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(x^2+21) ?
The derivative of f(x)=sqrt(x^2+21) is x/(sqrt(x^2+21))
What is the first derivative of f(x)=sqrt(x^2+21) ?
The first derivative of f(x)=sqrt(x^2+21) is x/(sqrt(x^2+21))