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

\frac{d}{d x} (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}

\frac{d y}{d x} = - \frac{x}{4 y}

\frac{d}{d x} (cot (x^{2}))

x \to π lim ((x - π) csc (x))

e^{x} \frac{y d y}{d x} = e^{- y} + e^{- 2 x - y}

6 y^{^{''}} + y^{^{'}} - 2 y = 0