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Recent questions tagged mean-value-theorem
2
votes
2
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1
GATE Overflow Test Series | Calculus | Test 1 | Question: 2
For which value of $'c'$ Lagrange's mean value theorem is applicable for the function $f(x) = \log x$ in $[1,e].$ $1$ $e$ $\frac{1}{e-1}$ $e-1$
For which value of $'c'$ Lagrange's mean value theorem is applicable for the function $f(x) = \log x$ in $[1,e].$$1$$e$$\frac{1}{e-1}$$e-1$
gatecse
134
views
gatecse
asked
Dec 28, 2020
Calculus
go2025-calculus-1
mean-value-theorem
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–
1
votes
1
answer
2
GATE Overflow Test Series | Calculus | Test 1 | Question: 24
Find the 'c' of Rolle's mean value theorem for $f(x) = x^3 - 4x \in [-2,2].$ $\frac{2}{\sqrt{3}}$ $-\frac{2}{\sqrt{3}}$ $\pm \frac{2}{\sqrt{3}}$ None of the above
Find the 'c' of Rolle's mean value theorem for $f(x) = x^3 - 4x \in [-2,2].$$\frac{2}{\sqrt{3}}$$-\frac{2}{\sqrt{3}}$$\pm \frac{2}{\sqrt{3}}$None of the above
gatecse
89
views
gatecse
asked
Dec 28, 2020
Calculus
go2025-calculus-1
mean-value-theorem
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–
0
votes
1
answer
3
Mean Value Theorem ( Lagrange's), How to take Domain in this type of questions?)
Find a point on the graph of y=x3(cube) where the tangent is parallel to the chord joining (1,1) and (3,27).
Find a point on the graph of y=x3(cube) where the tangent is parallel to the chord joining (1,1) and (3,27).
Karan Dodwani
850
views
Karan Dodwani
asked
Apr 29, 2018
Calculus
mean-value-theorem
engineering-mathematics
calculus
lagranges
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–
3
votes
1
answer
4
Mean Value Theorem Question(Explain the concept)
A rail engine accelerates from its stationary position for 8 seconds and travels a distance of 280m. According to the Mean Value Theorem, the speedometer at a certain time during acceleration must read exactly. (A) 0km/h (B) 8km (C) 75km/h (D) 126km/h
A rail engine accelerates from its stationary position for 8 seconds and travels a distance of 280m. According to the Mean Value Theorem, the speedometer at a certain tim...
smartmeet
3.2k
views
smartmeet
asked
Dec 29, 2016
Calculus
calculus
mean-value-theorem
engineering-mathematics
+
–
3
votes
2
answers
5
Lagrange 's Mean Value Theorem 2
If f ' (x) =$\frac{8}{x^{}2+3x+4}$ and f(0) =1 then the lower and upper bounds of f(1) estimated by Langrange 's Mean Value Theorem are ___
If f ' (x) =$\frac{8}{x^{}2+3x+4}$ and f(0) =1 then the lower and upper bounds of f(1) estimated by Langrange 's Mean Value Theorem are ___
pC
4.4k
views
pC
asked
May 12, 2016
Calculus
mean-value-theorem
calculus
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–
0
votes
1
answer
6
Lagrange 's Mean Value Theorem
Question: The value of $\zeta$ of $f(b) - f(a) = (b-a) \cdot f'(\zeta)$ for the function $f(x) = Ax^2 + Bx +C$ in the interval $[a,b]$ is _______ My Attempt : STEP 1: $f(x)$ is polynomial function therefore continuous STEP 2: $f(x)$ is ... How to proceed further?
Question:The value of $\zeta$ of $f(b) - f(a) = (b-a) \cdot f'(\zeta)$ for the function $f(x) = Ax^2 + Bx +C$ in the interval $[a,b]$ is _______My Attempt :STEP 1: $f(x)...
pC
2.9k
views
pC
asked
May 11, 2016
Calculus
mean-value-theorem
calculus
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