What is the derivative of a/(2y) ?

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

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

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

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

- \frac{a \frac{d y}{d x}}{2 y ^{2}}

Solution steps

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

Take the constant out:

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

= \frac{a}{2} \frac{d}{d x} (\frac{1}{y})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{a}{2} \frac{d}{d x} (y^{- 1})

Apply the chain rule:

- \frac{1}{y ^{2}} \frac{d y}{d x}

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

Simplify

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

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

t^{3} y^{^{'}} + 4 t^{2} y = 0

\int \frac{3 sin ^{3} ( x )}{cos ( x )} d x

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2} + z^{2})

\frac{d}{d x} (\frac{2 x + 1}{x - 3})

\frac{d}{d x} (sin (ln (3 x^{2} + x)))

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