conclusion of the mean value theorem

Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = ln x in [1, e ]. => e + 1 or e + 1 2 or e - 1 or e..

Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = sin x in [0, π ]. => π 6 or π 2 or π 3 or π 4..

Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = cos x in [- π 2 , π 2 ] . => 0 or - sin - 1 ( 2 π ) or π 2 or sin - 1 ( 2 π )..

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 derivatives also help in examining the behav..

Rolle's Theorem: Let f be a real valued function in [a,b] such that f is continuous in [a,b]. f is differentiable in (a,b). ..

Let f be real valued function in [a,b] such that, 1. f is continuous in [a,b]. 2. f is differentiable in (a,b). ..

Let n N and P(n) denote a certain statement or formula or theorem. Then P(n) holds good for every natural number n if (i) it holds for n = 1 and (ii) it holds for n = k+1 whenever it holds for n =..

Let n N and P(n) denote a certain statement or formula or theorem. Then P(n) holds good for every natural number n if (i) it holds for n = 1 and (ii) it holds for n = k+1 whenever it holds for n = k...

Solutions are homogeneous mixtures having great importance in our day to day life. In this chapter we have learnt the various types of solutions, the meaning of vapor pressure, Raoult's Law, Colligative Properties and Abnormal Molecular Mass..

Solutions are homogeneous mixtures having great importance in our day to day life. In this chapter we have learnt the various types of solutions, the meaning of vapor pressure, Raoult's Law, Colligative Properties and Abnormal Molecular Masse..