derivative of implicit functions

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

Choose the functions, which are implicitly defined by the relation x 2 + y 2 = 625. => f ( x ) = 6 2 5 - x 2 or g ( x ) = - 6 2 5 - x 2 or y = - 6 2 5 + x 2 or Both A & B..

Introduction - 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 th..

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..

Introduction - Biogeography reveals that living organisms (plants and animals) are found practically everywhere on this earth. The living components interact among themselves as well as with their physical environment like soil, air and water. The branch of biology, which deals with the relationshi..

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..

What is the derivative of the function y = cosh - 1 ( x - 9 b - 9 )? => 1 2 ( x - 9 ) ( x + b - 1 8 ) or b - 9 x - b or 1 2 ( x - b ) ( x - 9 ) or 1 ( x - b ) ( b - 9 )..

Find the derivative of the function y = sech - 1 ( 1 x + 9 ). => - x 2 + 1 8 x + 8 1 x 2 + 1 8 x + 8 0 or - 1 x 2 + 1 8 x + 8 0 or 1 x 2 + 1 8 x + 8 0 or x 2 + 1 8 x + 8 1 x 2 + 1 8 x + 8 0 or 1 x 2 + 1 8 x + 8 1..