What is the derivative of sqrt(x^2)+1 ?

The derivative of sqrt(x^2)+1 is x/(|x|)

What is the first derivative of sqrt(x^2)+1 ?

The first derivative of sqrt(x^2)+1 is x/(|x|)

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

\frac{x}{∣ x ∣}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (1) = 0

= \frac{x}{∣ x ∣} + 0

Simplify

= \frac{x}{∣ x ∣}

\frac{\partial}{\partial x} (x e^{2 t} - 4 x)

x, x - 2, 0

\frac{\partial}{\partial x} (ln (x^{2} - 4 x y + y^{2}))

f (x) = (ln (5))^{t}

x \to 0 lim (\frac{4}{17 + x})

What is the derivative of sqrt(x^2)+1 ?
The derivative of sqrt(x^2)+1 is x/(|x|)
What is the first derivative of sqrt(x^2)+1 ?
The first derivative of sqrt(x^2)+1 is x/(|x|)