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Prove that the function f given by f (x)...

Prove that the function f given by f (x) = log (cos x) is strictly decreasing on `(0,pi/2)` and strictly increasing on `(pi/2,pi)`

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OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions (MCQs)
  1. Prove that the function f given by f (x) = log (cos x) is strictly dec...

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  2. Find the rate of change of the area of a circle with respect to its ra...

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  3. Find the rate of change of the area of a circle per second with respec...

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  4. Find the rate of change of the area of the circle with respect to its ...

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  5. The total revenue in Rupees received from its sale of x units of a pro...

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  6. An edge of a variable cube is increasing at the rate of 3 cm second. H...

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  7. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

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  8. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

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  9. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

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  10. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

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  11. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

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  12. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

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  13. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

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  14. If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :

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  15. The approximate change in the volume of a cube of side x metres caused...

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  16. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

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  17. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

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  18. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

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  19. Find the rate of change of the area of a circle with respect to its ra...

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  20. Find the rate of change of the area of a circle with respect to its ra...

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  21. Find the rate of change of the area of the circle with respect to its ...

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