Differential Calculus Cauchys Mean Value Theorem Online Exam Quiz
Differential Calculus Cauchys Mean Value Theorem GK Quiz. Question and Answers related to Differential Calculus Cauchys Mean Value Theorem. MCQ (Multiple Choice Questions with answers about Differential Calculus Cauchys Mean Value Theorem
What is the value of c which lies in [1, 2] for the function f(x)=4x and g(x)=3x2?
Options
A : 1.6
B : 1.5
C : 1
D : 2
What is the value of the given limit, lim_{x o 0}?frac{2}{x}?
Options
A : 2
B : 0
C : 1/2
D : 3/2
What is the largest possible value of f(0), where f(x) is continuous and differentiable on the interval [-5, 0], such that f(-5)= 8 and f'(c)?2.
Options
A : 2
B : -2
C : 18
D : -18
Which of the following method is used to simplify the evaluation of limits?
Options
A : Cauchy’s Mean Value Theorem
B : Rolle’s Theorem
C : L’Hospital Rule
D : Fourier Transform
Cauchy’s Mean Value Theorem is also known as ‘Extended Mean Value Theorem’.
Options
A : False
B : True
C :
D :
The Mean Value Theorem was stated and proved by _______
Options
A : Parameshvara
B : Govindasvami
C : Michel Rolle
D : Augustin Louis Cauchy
Which of the following is not a necessary condition for Cauchy’s Mean Value Theorem?
Options
A : The functions, f(x) and g(x) be continuous in [a, b]
B : The derivation of g'(x) be equal to 0
C : The functions f(x) and g(x) be derivable in (a, b)
D : There exists a value c ? (a, b) such that, frac{f(b)-f(a)}{g(b)-g(a)} = frac{f'(c)}{g'(c)}
Cauchy’s Mean Value Theorem can be reduced to Lagrange’s Mean Value Theorem.
Options
A : True
B : False
C :
D :
L’Hospital’s Rule was first discovered by Marquis de L’Hospital.
Options
A : True
B : False
C :
D :
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