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Find the points of local maxima and loca...

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximm and local minimum values:
`f(x) = sin x + cos x, 0 < x < pi/2`

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The correct Answer is:
`sqrt2`
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OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions (MCQs)
  1. Find the points of local maxima and local minima, if any, of the follo...

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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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