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Find dy/dx when tan^-1(x^2 + y^2) = a^2...

Find `dy/dx` when `tan^-1(x^2 + y^2) = a^2`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate x/(sinx) w.r.t sinx

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  2. If y = tan^-1 x , find (d^2y)/(dx^2) in terms of y alone.

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  3. Find dy/dx when tan^-1(x^2 + y^2) = a^2

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  4. If y = t + 1/t and x = t - 1/t find dy/dx

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  5. Find dy/dx when y = tan (x+y)

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  6. Find d/(dx) (tansqrtx)

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  7. Find d/(dx) (tansqrtx)

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  8. If f(x) = |sin x - cosx|, find f' (pi//6)

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  9. If f(x) = |sinx| + | cos x|, find f'((3pi)/(4))

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  10. If y = sec x + tan x , then prove that dy/dx = 1/(1-sinx)

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  11. Can Rolle's Theorem be applied to the function f(x) = |x| in the inter...

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  12. Does there exist a point c(in)(0,pi/2) such that f' (c)= 0 where f(x) ...

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  13. Can Lagrange's Theorem be applied to the function f(x) = sqrt(1-x^2) i...

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  14. Is Lagrange's Theorem applicable to the function f(x) = |x| on the int...

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  15. Can we find a point c^(in) (-pi/2,pi/2) such that f'© = 0 where f(x) =...

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  16. Find a point c^(in) (-1,2) such that f'© = (f(2) - f(-1))/(2-(-1) wher...

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  17. At what point on the curve y = (cos x -1) in [0,2pi], is the tangent p...

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  18. Prove that the function f(x) = 5x-3, is contNuous at x=0, at x=-3 a...

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  19. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

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  20. Examine the following functions for continuity. f(x) = x-5

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