What is the derivative of 0.5x^3 ?

The derivative of 0.5x^3 is 1.5x^2

What is the first derivative of 0.5x^3 ?

The first derivative of 0.5x^3 is 1.5x^2

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\frac{d}{d x} (0.5 x^{3})

1.5 x^{2}

Solution steps

\frac{d}{d x} (0.5 x^{3})

Take the constant out:

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

= 0.5 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 0.5 \cdot 3 x^{3 - 1}

Simplify

= 1.5 x^{2}

\int \frac{x}{2 x - 5} d x

y = \frac{1}{x} (1.1)

\int \frac{x}{x ^{2} - 4 x + 4} d x

\int \frac{- 8 x - 9}{x ^{9}} d x

What is the derivative of 0.5x^3 ?
The derivative of 0.5x^3 is 1.5x^2
What is the first derivative of 0.5x^3 ?
The first derivative of 0.5x^3 is 1.5x^2