What is the derivative of ((x-2^2)/4) ?

The derivative of ((x-2^2)/4) is x/2-1

What is the first derivative of ((x-2^2)/4) ?

The first derivative of ((x-2^2)/4) is x/2-1

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\frac{d}{d x} (\frac{( x - 2 ) ^{2}}{4})

\frac{x}{2} - 1

Solution steps

\frac{d}{d x} (\frac{( x - 2 ) ^{2}}{4})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} ((x - 2)^{2})

Apply the chain rule:

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

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

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

= \frac{1}{4} \cdot 2 (x - 2) \cdot 1

Simplify

\frac{1}{4} \cdot 2 (x - 2) \cdot 1 : \frac{x}{2} - 1

= \frac{x}{2} - 1

2 x^{3} y^{^{'}} = y (y^{2} + 3 x^{2})

\int 6 x + 1 d x

y = - \frac{x ^{2}}{40}, (- 45, - 2)

\frac{d}{d x} (f (x) (2 x^{2} - 4))

4 x, x^{3}

What is the derivative of ((x-2^2)/4) ?
The derivative of ((x-2^2)/4) is x/2-1
What is the first derivative of ((x-2^2)/4) ?
The first derivative of ((x-2^2)/4) is x/2-1