Parthasarathi Mukhopadhyay and Manabendra Nath Mukherjee Solutions for Exercise 2: EXERCISE

Author:Parthasarathi Mukhopadhyay & Manabendra Nath Mukherjee

Parthasarathi Mukhopadhyay Mathematics Solutions for Exercise - Parthasarathi Mukhopadhyay and Manabendra Nath Mukherjee Solutions for Exercise 2: EXERCISE

Attempt the practice questions from Exercise 2: EXERCISE with hints and solutions to strengthen your understanding. RUDIMENTS of MATHEMATICS For Class 12 of +2 Level solutions are prepared by Experienced Embibe Experts.

Questions from Parthasarathi Mukhopadhyay and Manabendra Nath Mukherjee Solutions for Exercise 2: EXERCISE with Hints & Solutions

MEDIUM
12th West Bengal Board
IMPORTANT

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

f(x)=x(x-4) in [1, 5]

MEDIUM
12th West Bengal Board
IMPORTANT

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

f(x)=2x2-7x+10 in [2, 5]

MEDIUM
12th West Bengal Board
IMPORTANT

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

f(x)=xp in [-2, 1], where 0<p<1

MEDIUM
12th West Bengal Board
IMPORTANT

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

fx=4-x2 in [2, 4]

MEDIUM
12th West Bengal Board
IMPORTANT

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

f(x)=x+1x in [1, 4]

MEDIUM
12th West Bengal Board
IMPORTANT

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

fx=14x-1 in [1, 4]

HARD
12th West Bengal Board
IMPORTANT

Find the value of c that appears in the conclusion of Lagrange's mean value theorem in f(x)=2x2+3x+4 in [1, 2]. (Write the answer in fraction.)

HARD
12th West Bengal Board
IMPORTANT

Find the value of c that appears in the conclusion of Lagrange's mean value theorem in f(x)=x in [4, 9]. (Write the answer in decimals.)