Q:

What is the rule for ln x 1?

A:

The function of ln(x*1) can be expressed using the product rule as ln(x) + ln(1). The function of ln(x^1) can use the power rule to result in 1 x ln(x).

Keep Learning

The quotient rule is similar to the product rule and can be used to express the function ln(x/1) as ln(x) - ln(1). Since ln(x*1), ln(x/1) and ln(x^1) all equal ln(x), the function can be further evaluated. For example, given that f (x) = ln(x), the derivative of ln(x) is expressed as f'(x) = 1/x. The integral of ln(x) becomes ln(x)dx = x ∙ (ln(x) - 1) + C. The ln(x) is always undefined when x is less than or equal to zero, whereas the value of ln(x) is infinite for values of x greater than zero.

Sources:

Related Questions

• A: The equation y=csc(x) is a trigonometric function that looks like repeating regular and upside down "U"s. This function can also be written as y=1/sin(x) b... Full Answer >
Filed Under:
• A: The linear rule is the idea that any point in a function falls on the same line, and writing an equation with the linear rule only requires knowledge of th... Full Answer >
Filed Under:
• A: The integral of ln(x) with respect to x is xln(x) - x + c, where c is an arbitrary constant. One can prove that this result is correct by using the method ... Full Answer >
Filed Under:
• A: The derivative of ln(2x) is 1/x. This is due to the rules of derived logarithmic expressions, which state that the derivative of ln(ax), where "a" is any r... Full Answer >
Filed Under:
PEOPLE SEARCH FOR