CBSE Class 11-commerce Maths Limits and Derivatives
Introduction and Algebra of LimitsLimit of polynomial function can be computed using substitution or algebra of limits.
Limits of Rational FunctionsFor computing the limit of a Rational Function use Method of Direct Substitution, if the result is an Indeterminate form.
Limits of Trigonometric FunctionsUse sandwich/Squeeze Theorem to find the limit as x approaches zero of sin x over x.Evaluate the limits of trigonometric functions.
Logarithmic and Exponential LimitsLogarithmic and Exponential Limit
Infinite LimitsInfinite Limit
Meaning of DerivativesThe derivative is the instantaneous rate of change in terms of physics.
The derivative is the slope of the tangent at a point.
Sum and Difference RuleIf f(x) is a differentiable function and c is a constant then by constant multiple rule (cf(x) )'= c (f '(x))
If f and g are differentiable functions, then by sum and difference rule we have[f(x) ± g(x)]' = [f '(x) ± g'(x)]
The derivative of a function f(x) at a point x = a is f '(a).
Product and Quotient RuleIf there are two differential functions f(x) and g(x) then (f(x) g(x)) =f'(x)g(x)+f(x)g'(x) using product rule.