What is the first derivative of x/9 ?

The first derivative of x/9 is 1/9

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derivative of x/9

\frac{d}{d x} (\frac{x}{9})

\frac{1}{9}

Solution steps

\frac{d}{d x} (\frac{x}{9})

Take the constant out:

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

= \frac{1}{9} \frac{d x}{d x}

Apply the common derivative:

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

= \frac{1}{9} \cdot 1

Simplify

= \frac{1}{9}

f (x) = tan (\frac{1}{x})

\frac{d}{d x} (\frac{100 x}{x + y}) = 0

x \to 5 + lim (\frac{x}{x - 5})

\int_{3}^{5} \frac{1}{x ^{2} - 1} d x

y = x^{2}, y = - 2 x^{2} + 12