What is the derivative of (3x/y) ?

The derivative of (3x/y) is (3(y-x\frac{dy)/(dx))}{y^2}

What is the first derivative of (3x/y) ?

The first derivative of (3x/y) is (3(y-x\frac{dy)/(dx))}{y^2}

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Popular >

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

\frac{3 ( y - x \frac{d y}{d x} )}{y ^{2}}

Solution steps

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

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{x}{y})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= 3 \cdot \frac{\frac{d x}{d x} y - \frac{d y}{d x} x}{y ^{2}}

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

= 3 \cdot \frac{1 \cdot y - \frac{d y}{d x} x}{y ^{2}}

Simplify

3 \cdot \frac{1 \cdot y - \frac{d y}{d x} x}{y ^{2}} : \frac{3 ( y - x \frac{d y}{d x} )}{y ^{2}}

= \frac{3 ( y - x \frac{d y}{d x} )}{y ^{2}}

\int (5 x^{4} - \frac{4}{x ^{4}}) d x

y = (1 - x) (x^{2} - 3)^{2}, (2, - 1)

\frac{1}{1 - x}, 19

\int x^{2} lo g_{3} (x) d x

\int x^{2} + e^{x} d x

What is the derivative of (3x/y) ?
The derivative of (3x/y) is (3(y-x\frac{dy)/(dx))}{y^2}
What is the first derivative of (3x/y) ?
The first derivative of (3x/y) is (3(y-x\frac{dy)/(dx))}{y^2}