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8 results for “quotient”

Formulae (8)

\log_b\left(\frac{x}{y}\right) = \log_b(x) - \log_b(y)

The logarithm of a quotient equals the difference of logarithms.

\frac{a^m}{a^n} = a^{m-n}

Dividing powers with the same base subtracts exponents.

\log_b\frac{x}{y} = \log_b x - \log_b y

The log of a quotient is the difference of the logs.

\frac{a^m}{a^n} = a^{m-n}

Divide powers with the same base by subtracting exponents.

\left(\frac{f}{g}\right)' = \frac{f'g - fg'}{g^2}

Derivative of a quotient of two functions.

\left(\frac{u}{v}\right)' = \frac{u'v - uv'}{v^2}

Derivative of a quotient of two functions.

RQ = \frac{CO_2\ produced}{O_2\ consumed}

Ratio revealing which fuel is being metabolised.

RQ = \frac{CO_2\text{ produced}}{O_2\text{ consumed}}

Ratio revealing which fuel is being metabolized.