What is the first derivative of x/a ?

The first derivative of x/a is 1/a

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derivative of x/a

derivative of

\frac{x}{a}

\frac{1}{a}

Solution steps

\frac{d}{d x} (\frac{x}{a})

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{1}{a} \cdot 1

Simplify

= \frac{1}{a}

\int \frac{x - 3}{x ^{3}} d x

\frac{d}{d x} (16 - 5 x^{2})

x \to 2 - lim (sin (\frac{1}{x - 2}))

x \to 2 lim (x^{2} + 2)

\frac{d y}{d x} = 18 - y