What is the first derivative of 3/2 x ?

The first derivative of 3/2 x is 3/2

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derivative of 3/2 x

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

\frac{3}{2}

Solution steps

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

Take the constant out:

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

= \frac{3}{2} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= \frac{3}{2} \cdot 1

Simplify

= \frac{3}{2}

cos (3 t - 1)

y^{^{''}} + 7 y^{^{'}} + 10 y = - 11 t e^{2 t}

\int (4 x + 1)^{3} d x

- sec (\frac{1}{x} + 7 x)

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