What is the derivative of y=x^4 ?

The derivative of y=x^4 is 4x^3

What is the first derivative of y=x^4 ?

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

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derivative of

y = 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 = sin (2 x)

4 x + 2 y = 6

cos (2 x)

(- 1.5) (5.5)

f (x) = \frac{1}{4} x^{8} - \frac{1}{2} x^{6} - x + 2