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If x cos alpha + y sin alpha = p is a ta...

If `x cos alpha + y sin alpha = p` is a tangent to the curve
`(x/a)^(n/n-1) +(y/b)^(n/n-1) = 1`then so that
`(a cos alpha)^n + (b sin alpha)^n = p^n`.

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MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. If tangents are drawn from the origin to the curve y = sin x then sho...

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  2. Find the equation of the normal to the curve given by x = 3 cos thet...

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  3. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

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  4. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

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  5. Find the intervals where the following functions are (a) increasing an...

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  6. Find the intervals where the following functions are (a) increasing an...

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  7. Find the intervals where the following functions are (a) increasing an...

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  8. Find the intervals where the following functions are (a) increasing an...

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  9. Find the intervals where the following functions are (a) increasing an...

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  10. Find the intervals where the following functions are (a) increasing an...

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  11. Find the intervals where the following functions are (a) increasing an...

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  12. Find the intervals where the following functions are (a) increasing an...

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  13. Find the intervals where the following functions are (a) increasing an...

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  14. Find the intervals where the following functions are (a) increasing an...

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  15. Find the intervals where the following functions are (a) increasing an...

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  16. Find the intervals where the following functions are (a) increasing an...

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  17. Give a rough sketch of the functions given in question 1.

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  18. Show that the function e^x/x^p is strictly increasing for x gt p gt 0.

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  19. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

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  20. Find the extreme points of the following functions. Specify if the ext...

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