![]() The derivative of tan (x) is computed using the quotient rule and the derivatives of sin(x) and cos(x). The derivative of cos (x) is calculated using the definition of the derivative as a limit. The derivative of sin (x) is calculated using the definition of the derivative as a limit. The derivative of ln(x) is calculated using the definition. The definition of the derivative is used to calculate The derivative of e^x. Derivative of Logarithm function to Any Base : Log_a (x).The difference quotient is first calculated then its limitas h approaches zero is computed. Detailed solutions to questions are presented. We start with the definition of the difference quotient and then use several examples to calculate it. Several Examples with detailed solutions are presented. Find Derivatives of Functions in Calculus using different methods and rules.Taylor and Maclaurin Series with Examples.Quotient Rule of Differentiation with Examples.Product Rule of Differentiation with Examples.Several examples and their detailed solutions and exercises with answers, on how to calculate limits of indeterminate forms such as Several examples and their detailed solutions and exercises with answers on how to use the l'Hopital's theorem to calculate limits of the indeterminate forms 0/0. L'hopital's Rule And The Indeterminate forms 0 / 0.Calculate Limits of Trigonometric Functions.Use of Squeezing Theorem to Find Limits of functions such as sin x/x as x approaches 0.Questions on Continuity with Solutions.Continuity Theorems and Their use in Calculus are presented and discussed with examples.Introduction definition of the concept of continuous functions in calculus with examples. ![]() Main theorem in limits and its uses in calculating limits of functions.
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