(I suspect a typo.)The power rule is a mathematical rule that states that when taking the derivative of a term with a variable raised to a power, the coefficient of the term remains the same and the exponent is multiplied by the original coefficient, then subtracted by 1.
The power rule is applied by first identifying the term with a variable raised to a power. Then, the coefficient is brought down in front of the variable and the exponent is multiplied by the original coefficient. Finally, the exponent is subtracted by 1.
This is due to the application of the power rule. The original term was 1-2x, with a coefficient of 1 and an exponent of 1. When the power rule is applied, the coefficient is brought down in front of the variable, resulting in 2x. The exponent is then multiplied by the original coefficient, resulting in 2. Finally, the exponent is subtracted by 1, resulting in 2x-1.
Yes, the power rule can be used for any term with a variable raised to a power, as long as the variable is the only factor being raised to the power. If there are multiple terms being raised to the power, the power rule cannot be applied.
The power rule is used to easily find the derivative of a term with a variable raised to a power. It is a shortcut method that saves time and effort in finding the derivative using other methods, such as the product rule or quotient rule.