RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

MEDIUM

12th West Bengal Board

IMPORTANT

Earn 100

Verify Lagrange's Mean Value Theorem, whenever applicable for the following functions:
$f (x) = 2 x^{2} - 7 x + 10$ in $[2, 5]$

Important Questions on Rolle's Theorem and Lagrange's Mean Value Theorem

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the following function:

$f (x) = x^{p}$ in $[- 2, 1]$ , where $0 < p < 1$

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the following function:

$f (x) = \sqrt{4 - x^{2}}$ in $[2, 4]$

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the following function:

$f (x) = x + \frac{1}{x}$ in $[1, 4]$

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the following function:

$f (x) = \frac{1}{4 x - 1}$ in $[1, 4]$

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the function

f (x) = \log (x + 2)

in

[- 1, 4]

.

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the function

f (x) = \tan^{- 1} x

in

[0, 1]

.

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the function:

f (x) = e^{x} + 5

in

[0, 1]

.

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 10 - Rolle's Theorem and Lagrange's Mean Value Theorem>EXERCISE>Q 1

Verify Lagrange's Mean Value Theorem, whenever applicable for the function:

f (x) = \sin x + \cos x

in

[0, \frac{π}{2}]