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Show that the equation x^5-3x-1=0\ h...

Show that the equation `x^5-3x-1=0\ ` has a unique root in `[1,2]` .

A

at least one root

B

at most one roots

C

no roots

D

a unique root

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The correct Answer is:
D
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
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  2. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

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  3. Show that the equation x^5-3x-1=0\ has a unique root in [1,2] .

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  4. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

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  5. If f(x)=xsqrt(ax-x^2) for a>0, then f(x) is

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  6. The function f(x)=[x(x-2)]^2 is increasing in the set

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  7. The function f(x)= tan x - x

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  8. The function f(x)=x^(1//x) is increasing in the interval

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  9. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

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  10. The function f(x)=(log(pi+x))/(log(e+x))s is

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  11. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

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  12. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

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  13. The minmumu value of the fucntion f(x)=a^2/x+b^2/(a-x),a gt 0, b g...

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  14. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  15. Find the maximum and minimum values of f , if any, of the function gi...

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  16. The function f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2) (where [...

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