What is the derivative of (3x^3/2) ?

The derivative of (3x^3/2) is (9x^2)/2

What is the first derivative of (3x^3/2) ?

The first derivative of (3x^3/2) is (9x^2)/2

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\frac{d}{d x} (\frac{3 x ^{3}}{2})

\frac{9 x ^{2}}{2}

Solution steps

\frac{d}{d x} (\frac{3 x ^{3}}{2})

Take the constant out:

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

= \frac{3}{2} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{3}{2} \cdot 3 x^{3 - 1}

Simplify

\frac{3}{2} \cdot 3 x^{3 - 1} : \frac{9 x ^{2}}{2}

= \frac{9 x ^{2}}{2}

\frac{d}{d x} (sin (x) + x^{2})

\frac{\partial}{\partial y} (x e^{y^{2}})

(y e^{x y} cos (2 x) - 2 e^{x y} sin (2 x) + 2 x) + (x e^{x y} cos (2 x) - 3) y^{^{'}} = 0

x \to 0 lim ((1 - 6 x)^{\frac{5}{x}})

\frac{d y}{d x} + 7 y = 6

What is the derivative of (3x^3/2) ?
The derivative of (3x^3/2) is (9x^2)/2
What is the first derivative of (3x^3/2) ?
The first derivative of (3x^3/2) is (9x^2)/2