What is the first derivative of x^4 ?

The first derivative of x^4 is 4x^3

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derivative of x^4

derivative of

x^{4}

4 x^{3}

Solution steps

\frac{d}{d x} (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}

y^{^{''}} + 4 y^{^{'}} - y = 0

\int_{0}^{2 π} sin^{2} (10 x) d x

y = 7 + 8 x + 2 x e^{x}, (0, 7)

(3.5) (- 1.5)

t^{n}