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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int 17 arctan (x) d x

\frac{d}{d x} \frac{8}{( 9 x ^{2} - 7 ) ^{5}}

\int \frac{5}{2 + x ^{2}} d x

(x^{2} + 1) \frac{d y}{d x} + 3 x y = 6 x

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

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