What is the derivative of sqrt(4+x^2) ?

The derivative of sqrt(4+x^2) is x/(sqrt(4+x^2))

What is the first derivative of sqrt(4+x^2) ?

The first derivative of sqrt(4+x^2) is x/(sqrt(4+x^2))

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\frac{d}{d x} (4 + x^{2})

\frac{x}{4 + x ^{2}}

Solution steps

\frac{d}{d x} (4 + x^{2})

Apply the chain rule:

\frac{1}{2 4 + x ^{2}} \frac{d}{d x} (4 + x^{2})

= \frac{1}{2 4 + x ^{2}} \frac{d}{d x} (4 + x^{2})

\frac{d}{d x} (4 + x^{2}) = 2 x

= \frac{1}{2 4 + x ^{2}} \cdot 2 x

Simplify

\frac{1}{2 4 + x ^{2}} \cdot 2 x : \frac{x}{4 + x ^{2}}

= \frac{x}{4 + x ^{2}}

y = (1 + 5 x)^{9}, (0, 1)

y^{2} y^{^{'}} + 5 = x^{2}

\int \frac{7 x - 5}{x ^{2} + 16} d x

f (x) = 6 - x^{2}, at x = 7

\int \frac{1}{tan ( x ) - 1} d x

What is the derivative of sqrt(4+x^2) ?
The derivative of sqrt(4+x^2) is x/(sqrt(4+x^2))
What is the first derivative of sqrt(4+x^2) ?
The first derivative of sqrt(4+x^2) is x/(sqrt(4+x^2))