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Varify Lagrange's mean value theorem for...

Varify Lagrange's mean value theorem for the function
`f(x)=x+(1)/(x), x in [1, 3]`

A

1

B

`sqrt3`

C

2

D

3

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
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  2. The value of c in Lagrange's mean value theorem for the function f(...

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  3. Varify Lagrange's mean value theorem for the function f(x)=x+(1)/(x)...

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  4. From mean value theoren : f(b)-f(a)=(b-a)f^(prime)(x1); a lt x1 lt b...

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  5. The value of c in (0,2) satisfying the Mean Value theorem for the func...

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  6. In the Mean Value theorem (f(b)-f(a))/(b-a)=f'(c) if a=0 , b =1/2 a...

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  7. IF f(x)=1-x^3-x^5 is decreasing for

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  8. IF f(x)=2x^3+3x^2-12x+5 , then the interval in which (l1) increases an...

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  9. The function f(x)=x/(1+|x|) is differentiable in:

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  10. The values of x for which the function (logx)/x decreases is

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  11. IF f(x)=1/(x+1)-log(1+x),xgt0 , then f is

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  12. Let f(x)=x^3+3/2x^2+3x+3, then f(x) is

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  14. If a<0, the function f(x)=e^(ax)+e^(-ax) is a monotonically decreasing...

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  16. The function f(x)=(lambdasinx+2cosx)/(sinx+cosx) is increasing, if (a)...

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  17. The function which is neither decreasing nor increasing in (pi/2,(3pi)...

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  18. The function f(x)= x +1/x (x != 0) is a non-increasing function in the...

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