derivative rule

Derivability implies continuity Derivative of a constant function is zero. ..

Derivative of a Function of a Function - 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 h..

'Derivative of the product of two functions = first function x derivative of second function + second function x derivative of first function..

In this section, we derive the formulaIn this section, we derive the formula and use it to differentiate quotients of function..

With the large growth of carbon compounds, it was necessary to name these compounds in a more systematic way. A committee called the 'International Union for Pure and Applied Chemistry' (IUPAC) put forward a system of giving proper scientific names to carbon based compounds. The names derived..

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 points, i..

Carl Linnaeus, father of modern botany, was a Swedish naturalist who laid the foundation of modern classification and nomenclature in 1758. He devised a binomial system of nomenclature (naming system) in which an organism is given two names: A generic name (name of genus) which it shares with other..

Nomenclature - Carl Linnaeus, father of modern botany, was a Swedish naturalist who laid the foundation of modern classification and nomenclature in 1758. He devised a binomial system of nomenclature (naming system) in which an organism is given two names: A generic name (name of genus) which it sh..

Here, the monohalogen derivatives of alkanes are named as haloalkanes. While writing the names, the word 'halo' is prefixed to the name of the alkane corresponding to the longest continuous carbon chain holding the halogen atom. In case of branched chain alkanes, the following rules..