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}

y = - 23

\frac{x ^{2} + 3 x + 5}{x ^{2} - 1}

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

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

\frac{( 3 x + 1 )}{( x - 1 )}