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Popular >

((x^4)/4)^'

Solution

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

Solution

x^{3}

Solution steps

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

Take the constant out:

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

= \frac{1}{4} (x^{4})^{^{'}}

Apply the Power Rule:

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

= \frac{1}{4} \cdot 4 x^{4 - 1}

Simplify

\frac{1}{4} \cdot 4 x^{4 - 1} : x^{3}

= x^{3}

Popular Examples

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\frac{360}{2 s ^{2} + 10 s + 8}

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\frac{\partial}{\partial x} (y e^{3 x} \cdot 3)

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y = \frac{7}{x ^{2} + 3}, (2, 1)

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x \to 2 lim (x^{3} + 4 x^{2} - 3 x - 6)

integral of 1/(t^2sqrt(5-t^2))

\int \frac{1}{t ^{2} 5 - t ^{2}} d t

Frequently Asked Questions (FAQ)

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