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}

f (t) = \frac{1.05}{1 + 100 e ^{- 0.285 t}}

\frac{d}{d x} (e^{\frac{1}{x} l n (x)})

(3, - 8), (12, - 15)

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

\frac{d}{d x} (x^{2} \cdot y)