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Popular >

(x^4)^'

Solution

(x^{4})^{^{'}}

Solution

4 x^{3}

Solution steps

(x^{4})^{'}

Apply the Power Rule:

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

= 4 x^{4 - 1}

Simplify

= 4 x^{3}

Popular Examples

(\partial)/(\partial x)(1/2 yarctan(x/y))

\frac{\partial}{\partial x} (\frac{1}{2} y arctan (\frac{x}{y}))

integral of (x^2-3x-7)/((2x+3)(x+1))

\int \frac{x ^{2} - 3 x - 7}{( 2 x + 3 ) ( x + 1 )} d x

integral from 1 to e^3 of 1/(x(1+ln(x)))

\int_{1}^{e^{3}} \frac{1}{x ( 1 + ln ( x ) )} d x

y^{''}+25y=4csc^2(5t)

y^{^{''}} + 25 y = 4 csc^{2} (5 t)

(\partial)/(\partial x)(3xcos(y))

\frac{\partial}{\partial x} (3 x cos (y))

Frequently Asked Questions (FAQ)

What is the (x^4)^' ?
The (x^4)^' is 4x^3
What is the first (x^4)^' ?
The first (x^4)^' is 4x^3