What is the derivative of sqrt(x^2+7) ?

The derivative of sqrt(x^2+7) is x/(sqrt(x^2+7))

What is the first derivative of sqrt(x^2+7) ?

The first derivative of sqrt(x^2+7) is x/(sqrt(x^2+7))

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derivative of

x^{2} + 7

\frac{x}{x ^{2} + 7}

Solution steps

\frac{d}{d x} (x^{2} + 7)

Apply the chain rule:

\frac{1}{2 x ^{2} + 7} \frac{d}{d x} (x^{2} + 7)

= \frac{1}{2 x ^{2} + 7} \frac{d}{d x} (x^{2} + 7)

\frac{d}{d x} (x^{2} + 7) = 2 x

= \frac{1}{2 x ^{2} + 7} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 7} \cdot 2 x : \frac{x}{x ^{2} + 7}

= \frac{x}{x ^{2} + 7}

\int x^{2} 2 x - 1 d x

\frac{d x}{d t} + t^{7} x^{9} + \frac{x}{t} = 0

\frac{d ^{2}}{d x ^{2}} (cos (sin (3 θ)))

f (x) = - \frac{24}{( 4 x + 1 )}, at x = - 1

\frac{6 e ^{w}}{7 w}

What is the derivative of sqrt(x^2+7) ?
The derivative of sqrt(x^2+7) is x/(sqrt(x^2+7))
What is the first derivative of sqrt(x^2+7) ?
The first derivative of sqrt(x^2+7) is x/(sqrt(x^2+7))