What is the derivative of 10x^3 ?

The derivative of 10x^3 is 30x^2

What is the first derivative of 10x^3 ?

The first derivative of 10x^3 is 30x^2

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derivative of

10 x^{3}

30 x^{2}

Solution steps

\frac{d}{d x} (10 x^{3})

Take the constant out:

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

= 10 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 10 \cdot 3 x^{3 - 1}

Simplify

= 30 x^{2}

\frac{d}{d h} (0.606 \cdot h^{3} + 0.27 \cdot h^{2} + 0.12 \cdot h)

(2 x^{2} - 4 x + 1) (6 x - 5)

ln (2 x^{2})

\frac{1}{( r + t )}

\frac{1}{( 2 x )}