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 | (..
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 | (..Derivability or Differentiability 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 | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..
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 ..Derivative of a Function
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..
Application of Derivatives Conclusion
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..
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..Application of Derivatives Summary
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 ..
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 ..Points to Remember
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..
Determine the inflection points for f(x) = x2 - 8x + 4.
Determine the inflection points for f ( x ) = x 2 - 8 x + 4. => (4, - 92 9 ) or No points of inflection or (4, 4) or (0, 4) and (4, 12) or (4, 2)..
Find the point of inflection for f(x) = 12x2 - 2x3.
Find the point of inflection for f ( x ) = 12 x 2 - 2 x 3 . => (0, 0) and (4, 64) or (6, 0) or (0, 0) and (3, 54) or (0, 0) and (6, 0) or (2, 32)..
Find the points of inflection for f(x) = x2ex.
Find the points of inflection for f ( x ) = x 2 e x . => (- 2, 0.5413) or (- 0.58, 0.1883) and (- 3.41, 0.384) or (1.41, 8.225) or (0.414, 113) and (- 2.414, 0.521) or (0.58, 0.1883) and (3.41, 0.384)..
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