chain rule of derivative of trigonometric functions

The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a ..

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..

Before finding the differentiation of inverse trigonometric functions, recall how the inverse trigonometric functions are defined and what the domain and range of each inverse trigonometric function. For ready reference, the domain and ran..

If there is any other substituent on the chain, the compound is named as the derivative of the corresponding alkene. The side chains (or substituents) are named as per rules for alkane..

Trigonometric Ratios of Multiple and Sub-multiple Angles - The following results have already been derived under Circular function..

Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) or aromatic (Ar-COOH) depending on whether -COOH group i..

Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) or aromatic (Ar-COOH) depending on whether -COOH group is a..

Quotient Rule for Differentiation - In this section, we derive the formulaIn this section, we derive the formula and use it to differentiate quotients of functions..

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..

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 M..