What is the derivative of sqrt(144+x^2) ?

The derivative of sqrt(144+x^2) is x/(sqrt(144+x^2))

What is the first derivative of sqrt(144+x^2) ?

The first derivative of sqrt(144+x^2) is x/(sqrt(144+x^2))

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\frac{d}{d x} (144 + x^{2})

\frac{x}{144 + x ^{2}}

Solution steps

\frac{d}{d x} (144 + x^{2})

Apply the chain rule:

\frac{1}{2 144 + x ^{2}} \frac{d}{d x} (144 + x^{2})

= \frac{1}{2 144 + x ^{2}} \frac{d}{d x} (144 + x^{2})

\frac{d}{d x} (144 + x^{2}) = 2 x

= \frac{1}{2 144 + x ^{2}} \cdot 2 x

Simplify

\frac{1}{2 144 + x ^{2}} \cdot 2 x : \frac{x}{144 + x ^{2}}

= \frac{x}{144 + x ^{2}}

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

(2005, 54), (2010, 58)

3 x^{- 1}

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 9)^{7})

f (x) = 2 x + 3

What is the derivative of sqrt(144+x^2) ?
The derivative of sqrt(144+x^2) is x/(sqrt(144+x^2))
What is the first derivative of sqrt(144+x^2) ?
The first derivative of sqrt(144+x^2) is x/(sqrt(144+x^2))