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

The derivative of sqrt(x^2) is x/(|x|)

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

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

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derivative of

x^{2}

\frac{x}{∣ x ∣}

Solution steps

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

Apply radical rule:

a^{2} = ∣ a ∣

= \frac{d}{d x} (∣ x ∣)

Apply the common derivative:

\frac{d}{d x} (∣ x ∣) = \frac{x}{∣ x ∣}

= \frac{x}{∣ x ∣}

\frac{\partial}{\partial x} (e^{x y z^{6}})

\frac{\partial}{\partial x} (∣ x + y ∣ - 2)

\int (- 3 x^{- 2.5} - 7 x^{- 1}) d x

\frac{d}{d a} (\frac{sin ( a ) + cos ( a )}{sec ( a ) + csc ( a )})

\frac{d}{d x} (10 sin (2 x))

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