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

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

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

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

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

\frac{x}{x ^{2} + 1} - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d x}{d x} = 1

= \frac{x}{x ^{2} + 1} - 1

\int \frac{1}{24} x d x

x \to 3 lim (x + 2)

f (x) = x^{2} + 4 x

\frac{d}{d x} (- \frac{49}{( 1 + 7 x ) ^{2}})

\int \frac{x ^{2}}{x ^{4} - 2 x ^{2} - 8} d x

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