critical point derivative

Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (..

Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..

So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', then we have to compute the derivative by repeating the same..

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..

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 ..

Relationship between Critical Constant and Van der Waal's Constants - The relationship between critical constants of the gases and their Van der Waal constants is as follows: (i) V c = 3b (ii) P c = a/27b 2 (iii) T c = 8a/27Rb (iv) The critical compressibility factor Z..

Points to Remember - Modes of reproduction in plants can be grouped into 2 types a) asexual b) sexual reproduction Regeneration of new plants from portions of vegetative organs is very common. Runner, rhizome, bulbs, corns and tubers serve as means of propagation. A population of genetica..

Find the critical points of the function g ( x ) = ( x + 3) 2 . => 3 or 0 or 6 or - 3..

What are the critical points of y = x + 9 x => (3, 6), ( 3 , 9) or (- 3 , - 6), (3 , 6) or (3 , 6), (- 3 , 6) or (3 , - 6), (- 3 , 6)..