A real valued function is  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s at a point in its domain if the limit of the function at that point equals the value of the function at that point.

A function is continuous if it is continuous on the whole of its  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s.

Sum, difference, product and quotient of continuous  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s are continuous.

Every differentiable function is continuous, but the  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s is not true.

 common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s differentiation is a powerful technique to differentiate functions of the form f(x) = [u (x)]v (x).

 common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s Theorem: If f : [a, b] → R is continuous on [a, b] and differentiable on (a, b) such that f(a) = f(b), then there exists some c in (a, b) such that f ′(c) = 0.

 common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s Theorem: If f : [a, b] → R is continuous on [a, b] and differentiable on (a, b).

A function is  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s at x = c if the function is defined at x = c and if the value of the function at x = c equals the limit of the function at x = c.

Suppose f and g be two  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s continuous at a real number c.Then f + g is continuous at x = c

(uv)′ = u′v + uv′ is  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s rule.

 common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s Function is a function in which the dependent variable can be written explicitly in terms of the independent variable.

 common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s Function is a function or relation in which the dependent variable is not isolated on one side of the equation.

 common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s of the exponential function is R, the set of all real numbers.

 common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s of the exponential function is the set of all positive real numbers.

Exponential function with base 10 is called the  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s function.

Exponential function y = eⁿ.This is called  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s function.

The range of log function is the set of all  common exponentialcontinuousconversedomainExplicitfunctionsImplicitLogarithmicMean Valuenatural exponentialproductRangerealreal functionsRolle’s numbers.