function rules

So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we di..

A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numbers. In other words, functions whose domain and co-d..

Functions: f is a function from set A to a set B if each element x in A can be associated with a unique element in B. Domain: In the above definition of the function, set A is called domain. Co-Domain: In the above definition of the funct..

The measurements in an experiment to approximate an unknown continuous function y = f ( x ) are shown in table. Approximate the integral ∫ 0 1 f ( x ) dx using the Trapezoidal Rule. x 0 0.25 0.5 0.75 1 f ( x ) 1 1.5 2 2.5 3 => 3.5 or 3 or 4 or 2 or 2.5..

Differentiate the following function using product rule. y = (3 sec x - 4 cosec x) (2 sin x + 5 cos..

Limits- operations on functions Continuity of a function Intermediate value, extreme value theorem Derivatives, differentiability Derivatives of functions Chain rule Rolle's theorem, mean value theorem, and L'Hopital's rule Maxima, minima, inflection poin..

A set of numbers arranged in a definite order according to some definite rule is called a sequence. A sequence is a function whose domain is the set N of natural numbers. Indicated sum of the terms in a sequence is called a series. The result of performing the additi..

Sequence : A set of numbers arranged in a definite order according to some definite rule is called a sequence.A sequence is a function whose domain is the set N of natural numbers. Series : Indicated sum of the terms in a sequence is called a series. The result o..

If a quantity y varies with respect to another quantity 'x' satisfying some rule y = f(x), in other words if y is a function x, then represents the rate of change of y with respect to..

A set of numbers arranged in a definite order according to some definite rule is called a sequence. or A sequence is a function whose domain is the set N of natural numbers. It is customary to denote a sequence by a letter 'a' and the image a(n) or t(n), n N under 'a' by a ..