derivatives and integrals of trigonometric functions

If f (x) is a function continuous on [a, b] then ..

We define (e x +e - x )/2 as sinhx and (e x -e -x )/2 as coshx. Based on this other trigonometric functions are defined and they are all called hyperbolic functions..

Express sin 11θ cos 5θ - cos 11θ sin 5θ as a trigonometric function of a single angle measure. => sin 16θ or cos 16θ or cos 6θ or sin 6θ..

Let f (x) be the real valued differentiable function..

Functions Limits and Continuity - The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the ..

The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We con..

(x) of x under f is called the value of 'f ' at x. Types of Function and their Graphs: Constant function, Identity function, Polynomial function, Modulus function, Square root function, Greatest integer function or Step func..

This section explains how derivative can be used to check whether a function is increasing, decreasing or neither increasing nor decreasing in its domain. Let f be a function defined on an interval I and let x 1 and x 2 be any two points on I. (i) f is said to be incre..

Definition - The functional group is an atom, or a group of atoms which can replace one or more hydrogen/s in a hydrocarbon. This group when present in organic compounds defines the characteristic physical and chemical properties of that particular family of organic compounds. Thus a ..

The halogen derivatives of aliphatic and aromatic hydrocarbons are called haloalkanes and haloarenes. These are obtained when the hydrogen atom of an alkane and arene is replaced by a halogen atom (F, Cl, Br and I..