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Test whether the following functions are...

Test whether the following functions are increasing or decreasing : `f(x)`=`x−1/x`,x∈R,x≠0.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  3. Test whether the following functions are increasing or decreasing : f(...

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  4. The radius of a right circular cylinder increases at the rate of 0.1 c...

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  6. Prove that the function are increasing for the given intervals: f(x)=e...

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  7. The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis a...

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  8. A cube of ice melts without changing its shape at the uniform rate o...

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  9. Using Rolles theorem, prove that there is at least one root in (45^(1/...

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  10. If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, then the equation of tangent to...

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  11. If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f...

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  12. A function y=f(x) has a second-order derivative f''(x)=6(x-1)dot It it...

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  13. If x+4y=14 is a normal to the curve y^2=ax^3 -betaat (2,3) then value ...

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  14. In the curve represented parametrically by the equations x=2logcott+1 ...

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  15. The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...

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  16. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

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  17. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

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  19. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

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