Rolle's Theorem and Mean Value Theorem
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..
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..Langrange's Mean Value Theorem
Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..
Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..Theorem 4
Let f be a continuous function on an interval I = [a, b]. Then, f has the absolute maximum value and f attains it at least once in I. Also, f has the absolute minimum value and attains it at least once in ..
Theorem 5
Let f be a differentiable function on I and let x 0 be any interior point of I. Then (a) If f attains its absolute maximum value at x 0 , then f ' (x 0 )= 0 (b) If f attains its absolute minimum value at x 0 , then f '(x 0 ) = 0. In view of the above theorems, we sta..
Remainder theorem
If f(x) is a polynomial in x and is divided by x-a; then the remainder is is the value of f(x) at x = a i.e., remainder = f(..
Theorem 7: Let f be 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, f is continuous in [a,b]. f is differentiable in (a,b)...Theorem 9
For real values of x..
For real values of x..Gauss' Theorem
We have already learnt to find the electric field intensity due to a charged conductor using Coulomb's law. Gauss' theorem can also be used to calculate the electric field intensity provided there is a symmetry in the charge distribution. Can be considered as an alternative to Coulomb's l..
We have already learnt to find the electric field intensity due to a charged conductor using Coulomb's law. Gauss' theorem can also be used to calculate the electric field intensity provided there is a symmetry in the charge distribution. Can be considered as an alternative to Coulomb's l..See what our Users say :
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