derivatives of functions

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..

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..

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..

Which of the following is the derivative of the function g ( x ) = x x 2 - 1 6 - 1 6 cos h - 1 ( x 4 ) ? => 2 x 2 + x - 4 8 x 2 - 1 6 or - 3 2 x 2 - 1 6 or x + 4 + x - 4 x + 4 or 1 x + 4 or 2 x 2 - 1 6..

Which of the following is the derivative of the function f ( x ) = x x 2 + 1 6 + 1 6 sin h - 1 ( x 4 ) ? => 2 x 2 + 1 6 or 1 6 + x 1 6 + x 2 or 3 2 + 2 x 2 + 6 4 2 x 2 + 1 6 or 1 + x 2 + 1 6 or 3 2 x 2 + 1 6..

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..

Does the function f ( x ) = 5| x | have a derivative at x = 0? => No or Yes..

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

Conclusion Differentiation - In this chapter, we have studied various techniques of differentiation. Also, we have studied the method of obtaining higher order derivatives of functions which is useful in maxima and minima problems.In this chapter, we have studied various techniq..

Introduction - Integration and differentiation are a pair of inverse operations. So far, from a given function, we have been finding its derivative but the question arises: what is the function whose derivative is known? If the derivative of a ..