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Tan x sin x cos x.
Calculus quotient rule math. Using our quotient trigonometric identity tan x sinx x cos s then. F g f g f g g 2. This can also be written as. The quotient rule says that the derivative of the quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all divided by the square of the denominator.
The quotient rule can be used to differentiate tan x because of a basic quotient identity taken from trigonometry. Note that the numerator of the quotient rule is very similar to the product rule so be careful to not mix the two up. Scroll down the page for more examples and solutions on how to use the quotient rule. F x sin x g x cos x.
The derivative exist then the quotient is differentiable and f g f g fg g2. Quotient rule given two differentiable functions the quotient rule can be used to determine the derivative of the ratio of the two functions. The following diagrams show the quotient rule used to find the derivative of the division of two functions.
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