Quotient Rule
If h(x) = f(x)/g(x), then h'(x) = [g(x)f'(x)-f(x)g'(x)]/([g(x)]^2)
The quotient rule is a formula used in calculus to find the derivative of a quotient of two functions. The rule states that the derivative of a quotient is equal to the denominator multiplied by the derivative of the numerator minus the numerator multiplied by the derivative of the denominator, all over the denominator squared.
In other words, if we have two functions f(x) and g(x) and we want to find the derivative of their quotient (f(x)/g(x)), we use the following formula:
(f/g)’ = [(g * f’) – (f * g’)] / g^2
where f’ and g’ are the derivatives of f(x) and g(x) respectively.
It is important to remember that the quotient rule applies only when the denominator is not equal to zero. Otherwise, the rule doesn’t work and we need to use a different method to find the derivative.
More Answers:
How to Use Trigonometric Function Tanx in Mathematics for Accurate Calculations – Properties and Limitations ExplainedUnderstanding the Cosine Function: Definition, Properties, and Applications
Understanding Sine(x): Definition, Calculation, and Applications in Trigonometry