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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d v}{d t} = \frac{t}{sin ( v )}

\frac{d}{d x} (e^{x} (6 x^{2} - 12 x + 12))

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

\int_{1}^{5} \frac{3}{x} d x

\int 5 t sin^{2} (t) d t

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