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Prove that functions f(x) = x -(1)/(x) ,...

Prove that functions f(x) `= x -(1)/(x) ,x in R and x ne `0 is increasing functions.

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-APPLICATIONS OF DERIVATIVE
  1. Find the slope of tangent to the curve y= 2x^(3) - x^(2)+ 2 " at " (...

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  2. The displacement of a particle at time t is given by s= 2t^(3) -5t^(2...

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  3. Prove that functions f(x) = x -(1)/(x) ,x in R and x ne 0 is increasin...

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  4. Show that f(x) = x -cos x is increasing for all x.

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  5. Show that the functions f(x) = x^(3)+ 10 x + 7 " for " x in R is str...

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  6. Find the slope of normal to the curve 3x^(2) - y^(2) =8 at the point ...

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  7. Find the slope of tangent to the curve x= sin theta and y = cos 2 the...

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  8. The equation of normal to the curve y=2x^(3)-x^(2)+2 at ((1)/(2),2) is...

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  9. A car is moving in such a ways that the distance it covers , is given ...

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  10. A man of 2 metres height walks at a uniform speed of 6 km/hr away from...

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  11. Water is being poured at the rate of 36" m"^(3)//"sec" in a cylindrica...

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  12. Test whether the function f(x)= x^(3) + 6x^(2) + 12x-5 is increasing o...

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  13. Test whether the following function f(x)=2-3x+3x^(2)-x^(3), x in R is ...

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  14. Find the values of x for which function f(x)= 2x^(3)-6x^(2) + 6x+24 is...

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  15. Find the points on the curve y=sqrt(x-3), where the tangent is perpend...

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  16. A spherical soap bubble is expanding so that its radius is increasing ...

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  17. The surface area of a spherical balloon is increasing at the rate of 2...

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  18. A ladder 10 meter long is leaning against a vertical wall. If the bott...

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  19. Find the values of x for which the function f(x)= x^(3)-6x^(2)-36x+ 7 ...

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  20. Find the values of x, for which the function f(x)= x^(3) + 6x^(2) - 36...

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