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If y = f(x^2) and f'(x) = e^(sqrtx), the...

If `y = f(x^2)` and `f'(x) = e^(sqrtx)`, then find `(dy)/(dx)`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. If the radius of circle is increasing at the rate of 0.5 cm/s, then th...

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  2. The function f : R rarr R given by f(x) = - |x-1| is (a) continuous...

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  3. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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  4. Find a vector vecr equally inclined to the three axes and whose magnit...

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  5. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

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  6. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

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  7. The coordinates of the foot of the perpendicular drawn from the point ...

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  8. Let A = { 1,3,5 } . then the number of equivalence relations in A cont...

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  9. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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  10. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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  11. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...

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  12. The range of the principal value branch of the function y= sec^(-1)x i...

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  13. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  14. If |vec(a)| = 4 and -3 le lamda le 2,then Ilambda vecaI lies in (A)...

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  15. The principle value of cos^(-1)(-1/2) is ......

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  16. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

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  17. A purse contains 3 silver and 6 copper coins a second purse contains 4...

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  18. the interval in which the function f given by f(x) = x^2 e^(-x) is str...

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  19. tan^(-1)3 + tan^(-1) lambda = tan^(-1) {(3+ lamda)/(1- 3 lamda)} is va...

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  20. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

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