What is the derivative of ln(q/7) ?

The derivative of ln(q/7) is 1/q

What is the first derivative of ln(q/7) ?

The first derivative of ln(q/7) is 1/q

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derivative of

ln (\frac{q}{7})

\frac{1}{q}

Solution steps

\frac{d}{d q} (ln (\frac{q}{7}))

Apply the chain rule:

\frac{1}{\frac{q}{7}} \frac{d}{d q} (\frac{q}{7})

= \frac{1}{\frac{q}{7}} \frac{d}{d q} (\frac{q}{7})

\frac{d}{d q} (\frac{q}{7}) = \frac{1}{7}

= \frac{1}{\frac{q}{7}} \cdot \frac{1}{7}

Simplify

\frac{1}{\frac{q}{7}} \cdot \frac{1}{7} : \frac{1}{q}

= \frac{1}{q}

\frac{\partial}{\partial x} (4 x e^{- x^{2} - y^{2} - z^{2}})

\int_{6}^{8} \frac{36}{( x - 6 ) ^{3}} d x

2 x^{2} ln (2 x)

\frac{\partial}{\partial x} (cos^{2} (2 x))

x \to 0 lim (- cos (\frac{1}{x}))

What is the derivative of ln(q/7) ?
The derivative of ln(q/7) is 1/q
What is the first derivative of ln(q/7) ?
The first derivative of ln(q/7) is 1/q