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What is the slope of the normal to the curve `x^(2/3)+y^(2/3)=20` at the point (8, 64)?

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. Determine the interval in which g(x) = (x^2+3x+3)/(x+1) is decreaing.

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  2. Write slope of the tangent to the curve y= sqrt(3)sinx+cos x at [pi/3,...

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  3. What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...

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  4. Write'the x-coordinate of the extreme point of the function y = cos x ...

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  5. For what value of x, is the function f(x) = 3 - 2x^2 the maximum?

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  6. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

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  7. The curves y = 4x^2 + 2x -8 and y=x^3-x +10 touch each other at the po...

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

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  9. Find the approximate value of sqrt(48.96)

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  10. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

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

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  12. Show that the sum of the intercepts on the coordinate axes of any tang...

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  13. Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is...

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  14. Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is...

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  15. Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...

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  16. Show that the function f(x) = x^3- 3x^2 + 3x, x in R is increasing on ...

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  17. Find the.equations of tangent and normal to the curves x = a sin^3thet...

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  18. Find the points on curve y = x^3- 11x + 5 at which equation of the tan...

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  19. Find the points onthe curve x^2 + y^2-2x-3= 0 atwhich tangent is paral...

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  20. Find the equation of tangent to the curve x=sin 3t,y=cos 2t at t =pi/4

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