What is the first derivative of-x/5 ?

The first derivative of-x/5 is -1/5

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derivative of-x/5

\frac{d}{d x} (- \frac{x}{5})

- \frac{1}{5}

Solution steps

\frac{d}{d x} (- \frac{x}{5})

Take the constant out:

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

= - \frac{1}{5} \frac{d x}{d x}

Apply the common derivative:

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

= - \frac{1}{5} \cdot 1

Simplify

= - \frac{1}{5}

x \to 2 lim (3 x^{3} - 5 x)

\int_{100}^{120} \frac{600}{x} d x

f (x) = 4 x^{2} - x^{3}, at x = 1

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

x \to 0 lim (\frac{1}{2} x^{2})