example application of derivatives

Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply. Application of derivatives are us..

Conclusion - In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curves. The deriva..

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x = a is called a point of inflexion. Rolle's theorem: If a function f(x) is such that (i) f (x) is continuous on [a,b] (ii) f (x) is differentiable on (a,b) and (iii) f (a) = f (b) Geometrical interpretation of Rolle's theorem Let AB be the graph of y = f(x) such that A = (a , f(a)) and B = (b , f..

Applications - After the elementary study in probability, let us see how we can utilise this basic knowledge in solving problems of different are..

This law is used in comparing the temperature of any two or more systems by the common use of thermometer. For example, in order to compare temperature of two bodies X and Y, the thermometer (analogous to body C) is allowed to come into thermal equilibrium first with body X and then with..

A cleansing cream or lotion is used for the removal of facial make - up, surface grime and excess oil. The mineral oil in the cream acts on the grease and excess oil that bind grime or make up on the skin and removes the..

Bleaching creams lighten or bleach dark skin. Skin color is determined by melanin formation. Bleaching creams act on melanin and reduce the normal pigmentation of the ski..

1. A wet porous substance in the open air loses its moisture at the rate proportional to the moisture content. If a sheet hung in the wind loses half of its moisture during the first hour, when will it have los..

After the elementary study in probability, let us see how we can utilise this basic knowledge in solving problems of different are..