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Popular >

(x^6)^'

Solution

(x^{6})^{^{'}}

Solution

6 x^{5}

Solution steps

(x^{6})^{'}

Apply the Power Rule:

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

= 6 x^{6 - 1}

Simplify

= 6 x^{5}

Popular Examples

derivative of sqrt(9+x^2)

\frac{d}{d x} (9 + x^{2})

derivative of e^{x^4y}

\frac{d}{d x} (e^{x^{4} y})

integral of x^3(5+x^4)^{11}

\int x^{3} (5 + x^{4})^{11} d x

integral from x^3 to x^4 of (2t-1)^3

\int_{x^{3}}^{x^{4}} (2 t - 1)^{3} d t

integral of (sqrt(3))

\int (3) d x

Frequently Asked Questions (FAQ)

What is the (x^6)^' ?
The (x^6)^' is 6x^5
What is the first (x^6)^' ?
The first (x^6)^' is 6x^5