What is the derivative of sqrt(x^2+15) ?

The derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))

What is the first derivative of sqrt(x^2+15) ?

The first derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))

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\frac{d}{d x} (x^{2} + 15)

\frac{x}{x ^{2} + 15}

Solution steps

\frac{d}{d x} (x^{2} + 15)

Apply the chain rule:

\frac{1}{2 x ^{2} + 15} \frac{d}{d x} (x^{2} + 15)

= \frac{1}{2 x ^{2} + 15} \frac{d}{d x} (x^{2} + 15)

\frac{d}{d x} (x^{2} + 15) = 2 x

= \frac{1}{2 x ^{2} + 15} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 15} \cdot 2 x : \frac{x}{x ^{2} + 15}

= \frac{x}{x ^{2} + 15}

x \to - 2 lim (- 7)

\int (4 x + 3) (2 x^{2} + 3 x) d x

(x + 1)^{2} (x^{2} + 1)^{- 3}

\frac{\partial}{\partial x} (a cos (x))

x \to 0 + lim (\frac{x - 2}{∣ x ∣})

What is the derivative of sqrt(x^2+15) ?
The derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))
What is the first derivative of sqrt(x^2+15) ?
The first derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))