The value of c in the Lagrange's mean value theorem

Question:

The value of $\mathrm{c}$ in the Lagrange's mean value theorem for the function $f(x)=x^{3}-4 x^{2}+8 x+11$, when $x \in[0,1]$ is :

  1. $\frac{2}{3}$

  2. $\frac{\sqrt{7}-2}{3}$

  3. $\frac{4-\sqrt{5}}{3}$

  4. $\frac{4-\sqrt{7}}{3}$


Correct Option: , 4

Solution:

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now