What is the derivative of sqrt(100+x^2) ?

The derivative of sqrt(100+x^2) is x/(sqrt(100+x^2))

What is the first derivative of sqrt(100+x^2) ?

The first derivative of sqrt(100+x^2) is x/(sqrt(100+x^2))

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\frac{d}{d x} (100 + x^{2})

\frac{x}{100 + x ^{2}}

Solution steps

\frac{d}{d x} (100 + x^{2})

Apply the chain rule:

\frac{1}{2 100 + x ^{2}} \frac{d}{d x} (100 + x^{2})

= \frac{1}{2 100 + x ^{2}} \frac{d}{d x} (100 + x^{2})

\frac{d}{d x} (100 + x^{2}) = 2 x

= \frac{1}{2 100 + x ^{2}} \cdot 2 x

Simplify

\frac{1}{2 100 + x ^{2}} \cdot 2 x : \frac{x}{100 + x ^{2}}

= \frac{x}{100 + x ^{2}}

y = x 6^{x}

x (x + y) (\frac{d y}{d x}) + y (3 x + y) = 0

y = ln (arctan (4 x))

\int_{1}^{3} 5 r^{3} ln (r) d r

y^{^{''}} - y^{^{'}} - 2 y = 2 e^{- t}

What is the derivative of sqrt(100+x^2) ?
The derivative of sqrt(100+x^2) is x/(sqrt(100+x^2))
What is the first derivative of sqrt(100+x^2) ?
The first derivative of sqrt(100+x^2) is x/(sqrt(100+x^2))