What is the derivative of-(2x)/y ?

The derivative of-(2x)/y is -2/y

What is the first derivative of-(2x)/y ?

The first derivative of-(2x)/y is -2/y

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derivative of

- \frac{2 x}{y}

- \frac{2}{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= - \frac{2}{y} \frac{d x}{d x}

Apply the common derivative:

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

= - \frac{2}{y} \cdot 1

Simplify

= - \frac{2}{y}

\int_{1}^{2} \frac{5}{x ^{3} + 4 x} d x

x \to 0 + lim (\frac{1}{x ^{3}})

(arcsin (3 x))^{^{'}}

6 x e^{x} csc (x)

\int \frac{2}{x} d x