Question

Logarithmic differentiation calculator.

A) ln(uv) = ln(u) + ln(v)
B) ln(uv) = ln(u) - ln(v)
C) ln(uv) = uln(v)
D) ln(uv) = vln(u)

Answer 1

The correct option for the given question is B) ln(uv) = ln(u) - ln(v). In logarithmic differentiation, we use logarithmic properties to differentiate functions that would otherwise be difficult to differentiate directly.

Step-by-step explanation:

The correct option is B) ln(uv) = ln(u) - ln(v).

In logarithmic differentiation, we use logarithmic properties to differentiate functions that would otherwise be difficult to differentiate directly. One of the properties of logarithms states that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.

For example, if we have ln(uv), we can express it as ln(u) + ln(v) using the property ln(xy) = ln(x) + ln(y). Therefore, option B) ln(uv) = ln(u) - ln(v) is the correct option for the given question.