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Find dy/dx if x=a(t+sint), y=bcost...

Find dy/dx if
x=a(t+sint), y=bcost

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`-b/a"tan"t/2`
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If x = f(t) and y = g(t) are differentiable functions of t so that y is a differentiable functions of x and if dx//dt ne 0 then (dy)/(dx) =(dy)/((dt)/((dx)/(dt)) . Hence find dy/dx if x= 2sint and y=cos2t

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find dy/dx if x=t^7+1, y=t^5+3t^3

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  2. Find dy/dx if x=asectheta, y=btan theta

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  3. Find dy/dx if x=a(t+sint), y=bcost

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  4. Find dy/dx if x=a(t+cost), y=a(t+sint)

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  5. Find dy/dx if x=costheta+thetasintheta, y=sintheta-thetacostheta

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  6. Find dy/dx if x=asec^2theta, y=btan^3theta

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  7. A particle describes a distance S meter in t seconds, where S=7t^6+4t^...

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  8. A particle moves in a straight line according to the law S=at^2+bt+c.I...

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

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

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  11. The radius of a circle is increasing uniformly at the rate of 3cm//s.F...

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  12. The rate of change of radius of a circle is 1/pi cm//sec. Find the rat...

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  13. Find the point on the curve y^2=8x at which the abscissa and the ordin...

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  14. A balloon, which always remains spherical on inflation, is being infla...

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  15. A balloon, which always remains spherical , has a variable diameter 3/...

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  16. A man 1.5 m tall walks away from a lamp post 4.5 m high at a rate of 4...

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  17. Sand is pouring from a pipe at the rate of 12 c m^3//s . The falling s...

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  18. Find the slope of the tangent to the curve y(x^2+1)=x at the point (1...

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  19. Find the inclination to the positive x-axis of the tangent to the curv...

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  20. Find the points at which the tangent to the curve y=x^4/4-2x^2 is para...

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