What is the derivative of y=x^2-1 ?

The derivative of y=x^2-1 is 2x

What is the first derivative of y=x^2-1 ?

The first derivative of y=x^2-1 is 2x

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derivative of

y = x^{2} - 1

2 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}) = 2 x

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

= 2 x - 0

Simplify

= 2 x

x y^{^{'}} + y + y ln (x y) = 0

r \to 0 lim (\frac{1}{r ^{2}})

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