NCERT 2022 | Mean Value Theorem in One Shot | Class 12 सांतत्य एवं अवकलनीयता | Doubtnut |Deepak Sir

Examine if Mean Value Theorem applies to f(x) = x^(3) + 3x^(2) - 5x in the interval [1,2]. If it does, then fintl tHe intermediate point whose existence is asserted by theorem

Rolls and Lagrange Theorm || Mean value theorem || Illustration || Discussion Excercise 1,2

Discuss the applicability of Lagrange's Mean Value Theorem to the following : f(x)=x^(2)-1" on "[1,2] .

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statement are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FLASE. If STATEMENT 1 is FALSE and STATEMENT 2 is TURE. Statement 1: Lagrange mean value theorem is not applicable to f(x)=|x-1|(x-1) Statement 2: |x-1| is not differentiable at x=1.

The scores of 15 students in an examination were recorded as 10,5,8,16,18,20,8,10,16,20,18,11,16,14 and 12, After calculating the mean, median and mode an error is found. One of the values is wrongly written as 16 instead of 18. Which of the following measures of central tendency will change? a) Mean and median (b) median and mode (c) mode only (d) median and mode