What is the derivative of (x^{1-a}/(1-a)) ?

The derivative of (x^{1-a}/(1-a)) is x^{-a}

What is the first derivative of (x^{1-a}/(1-a)) ?

The first derivative of (x^{1-a}/(1-a)) is x^{-a}

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

x^{- a}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= \frac{1}{1 - a} (1 - a) x^{1 - a - 1}

Simplify

\frac{1}{1 - a} (1 - a) x^{1 - a - 1} : x^{- a}

= x^{- a}

\frac{\partial}{\partial x} ((f (x))^{^{'}})

x y^{^{''}} + y^{^{'}} = x

\frac{3 x + 4}{7 x - 5}

a y^{^{'}} + b y = 0

4 t x \frac{d x}{d t} = x^{2} + 1

What is the derivative of (x^{1-a}/(1-a)) ?
The derivative of (x^{1-a}/(1-a)) is x^{-a}
What is the first derivative of (x^{1-a}/(1-a)) ?
The first derivative of (x^{1-a}/(1-a)) is x^{-a}