The quotient rule is a differentiation rule stating that for two differentiable functions u(x) and v(x), the derivative of their quotient u/v equals (u'v - uv') / v^2. This rule belongs to differential calculus, within the broader theory of derivative computation rules alongside the product rule and chain rule. Applying the quotient rule to tangent x, expressed as the quotient sin(x)/cos(x), combined with the Pythagorean trigonometric identity, yields the derivative of tangent as secant squared x, illustrating how differentiation rules combine with algebraic/trigonometric identities to simplify results.
The quotient rule is a differentiation rule stating that for two differentiable functions u(x) and v(x), the derivative of their quotient u/v equals (u'v - uv') / v^2. This rule belongs to differenti…