What is the derivative of (x-1^5) ?

The derivative of (x-1^5) is 5(x-1)^4

What is the first derivative of (x-1^5) ?

The first derivative of (x-1^5) is 5(x-1)^4

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\frac{d}{d x} ((x - 1)^{5})

5 (x - 1)^{4}

Solution steps

\frac{d}{d x} ((x - 1)^{5})

Apply the chain rule:

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

= 5 (x - 1)^{4} \frac{d}{d x} (x - 1)

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

= 5 (x - 1)^{4} \cdot 1

Simplify

= 5 (x - 1)^{4}

\int x e^{- 2 x^{2}} d x

\int arctan (x) + C d x

\int 36 arctan (x) d x

y^{^{'}} + 2 x y + x y^{4} = 0

\frac{8}{3 x + 2}, 5

What is the derivative of (x-1^5) ?
The derivative of (x-1^5) is 5(x-1)^4
What is the first derivative of (x-1^5) ?
The first derivative of (x-1^5) is 5(x-1)^4