derivative at a point

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 | (..

Physical Significance: Let Q (t) be a quantity that changes with time 't'. Let D t be the increment given to 't' and D Q be the corresponding increment in Q, then is called the average rate of change of Q with respect to 't'. (Also known as Newton - quotient of f at t..

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..

Let f be a function of x (y=f(x)). Let a be a point in the domain of f. The RHD of f at a is defined as where h>0, provided the limit exist..

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 derivative of f ( x ) = 5 x - 8 x 2 at the point x = 3. => - 48 or - 53 or - 8 or - 43..

Being polar in nature, the acid derivatives have higher boiling points than hydrocarbons of comparable molecular masses. Acid chlorides, anhydrides and esters have nearly the same boiling points as the aldehydes and ketones of comparable molecular masses. Their b..

Summary Differentiation - A function f(x) is said to be derivable at a point x = a if A function f(x) is said to be derivable at a point x = a if Left hand derivative Lf '(a) Right hand derivative Rf '(..