derivative of implicit functions

The highest order derivative of the unknown function occuring in the differential equation is the ________ of the differential equation => Power or Order or Degree or Particular solution or General solution..

We have already defined, for a continuous function f(x) on a closed interval [a, b] as the area of the region bounded by the curve y = f(x), X-axis and x= a and x = b. In other words, area of the shaded region is a function of x. The function A(x) is shown in figure be..

Which of the following functions are implicitly defined by the relation x 2 - y 2 = 225? => f ( x ) = 2 2 5 - x 2 or g ( x ) = - 2 2 5 - x 2 or h ( x ) = - 2 2 5 + x 2 or Both A and B..

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 c..

Increasing and Decreasing Functions - 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 b..

1. Peptide hormones Insulin has a profound influence or carbohydrate metabolism. It facilitates entry of glucose and other sugars into the cells by increasing penetration of cell membranes and augmenting phosphorylation of glucose. This decreases glucose concentration in blood and insulin is commo..

Find the derivative of the function f ( y ) = 9 y + 14 directly from the definition of derivative. => 14 or 9 or 1 9 or - 9 or 0..

This chapter contains oxygen compounds in which oxygen is bonded to a carbon atom through a double bond. The functional unit >C = O, present in these compounds is called carbonyl group. We limit our study now to compounds having an acyl group (R - C = O) is bonded to hydrogen, ca..

What is the derivative of the function y = cosh - 1 ( x - 7 b - 7 )? => b - 7 2 ( x - 7 ) ( x - b ) or 1 2 ( x - 7 ) ( x + b - 1 4 ) or 1 2 ( x - b ) ( x - 7 ) or b - 7 x - b or 1 ( x - b ) ( b - 7 )..