What is the first derivative of y^4 ?

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

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derivative of y^4

derivative of

y^{4}

4 y^{3}

Solution steps

\frac{d}{d y} (y^{4})

Apply the Power Rule:

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

= 4 y^{4 - 1}

Simplify

= 4 y^{3}

(2 sin (t))^{^{'}}

x \to 2 lim (x^{2} + 7 - x)

\frac{\partial}{\partial x} (y^{4} + 5 x y^{3})

\frac{d}{d x} (cos (5 x - 3))

\frac{- 2 x}{( x ^{2} - 1 ) ^{2}}