What is the derivative of 10y^4 ?

The derivative of 10y^4 is 40y^3

What is the first derivative of 10y^4 ?

The first derivative of 10y^4 is 40y^3

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derivative of

10 y^{4}

40 y^{3}

Solution steps

\frac{d}{d y} (10 y^{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d y} (y^{4})

Apply the Power Rule:

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

= 10 \cdot 4 y^{4 - 1}

Simplify

= 40 y^{3}