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

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

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

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

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

x

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

= \frac{1}{2} (\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

= \frac{1}{2} (2 x - 0)

Simplify

\frac{1}{2} (2 x - 0) : x

= x

y = \frac{x}{3} - \frac{3}{x}

e^{x^{4}} \cdot 4 x^{3}

2 y^{^{''}} - 5 y^{^{'}} - 12 y = 0

x \to 1 lim (e^{2 x^{3} - 2 x})

y^{^{''}} = e^{2 t}

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