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Show that f(x)=1/x is a decreasing funct...

Show that `f(x)=1/x` is a decreasing function on `(0,\ oo)` .

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AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-TRY YOURSELF
  1. A stone is dropped into a well and progressive waves are moving in cir...

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  2. Show that f(x)=[x], ([] implies greatest integer function ) is increas...

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  3. Show that f(x)=1/x is a decreasing function on (0,\ oo) .

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  4. Prove that funciton given by (i) f(x)=x^(2) is (a) Strictly i...

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  5. Find the interval in which the function f given by f(x)=x^(2)-2x+3 is ...

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  6. Prove that f(x)=tan ^(-1)(sin x + cos x ),x gt 0 f(0,pi/4) is incre...

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  7. Find the slope of tangent to curve y=x+2log x at x=1.

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  8. Distance between the points on the curve 4x^2 + 9y^2 = 1, where tangen...

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  9. Find the point at which the tangent to the curve y=(3)/(5)x^(5)-(5)/(3...

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  10. Find pints on the curve (x^2)/9+(y^2)/(16)=1 at which the tangents ...

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  11. Find the equation of a line having slope is equal to 2,which touching ...

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  12. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3) at ...

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  13. Find the equations of the tangent and the normal to the curve x^(2/...

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  14. Find the equation of tangent to the curve given by x=2 sin^(3)t ,y=2 ...

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  15. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

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  16. Prove that the segment of tangent to xy=c^(2) intercepted between the...

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  17. Find the equations of tangent to the curve y=x^(4) which are drawn fro...

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  18. Find the approximate value of sqrt(36.6.)

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  19. If the radius of a sphere is measured as 9cm with an error of 0.03 cm,...

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  20. Find the approximate value of sin((5pi)/(16)) .

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