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Prove that for theta = tan^(-1)sqrt((p)/...

Prove that for `theta = tan^(-1)sqrt((p)/(q)), sin^(p)theta cos^(q)theta` is maximum.

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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
  1. Find the maximum and minimum values in the following functions : ...

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  2. Find the maximum and minimum values in the following functions : ...

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  3. Prove that for theta = tan^(-1)sqrt((p)/(q)), sin^(p)theta cos^(q)thet...

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  4. For which value of x, function f(x)=(40)/(3x^(4)+8x^(3)-18x^(2)+60) ha...

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  5. A function y=(ax+b)/((x-1)(x-4)) has maximum or minimum at P(2,-1) the...

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  7. Find maximum and minimum value of the following functions in the given...

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  8. Find maximum and minimum value of the following functions in the given...

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  9. Find maximum and minimum value of the following functions in the given...

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  10. A function y=f(x) is given by x = phi (t)=t^(5)-5t^(3)-20t+7 y=...

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  11. For which value of a, A function, f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9...

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  13. At what points, f(x)=1+2 sin x + 3 cos^(2)x, 0 lt x lt (2pi)/(3) has m...

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  14. Divide 20 into two parts such that the product of one part and the cub...

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  15. Find two positive numbers x and y, such that x+y=64 and x^(3)+y^(3) is...

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  16. What is the maximum slope of the curve y=-x^(3)+3x^(2)+2x-27 ? Also fi...

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  18. The total area of a page is 150 square inchese. The combined width of ...

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