((3x^2)/2)^'

Solution

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

3 x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= 3 x

\frac{d}{d y} (\frac{4 x - 2 y}{4 x + 2 y})

\frac{d}{d x} (r (x) (x)^{2} - x^{2})

\frac{d}{d x} ((1 + e^{x})^{3})

e^{- 2 t} cos (3 t)

\frac{\partial}{\partial x} (x e^{y} + x^{4} y + y^{3})