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AAKASH SERIES-DIFFRENTATION-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN))(Straight Objective Typee Questions)
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- If sintheta sin(2alpha+theta)sin(4alpha + theta)...sin(2(n-1)alpha+the...
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- If y=2+|x| -|x| -|x-1|-|x+1| , then y'(-1/2)+y'(3/2) +y'(5/2)=
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- Suppose that function f(x) - f(2x) has the derivative 5 at x = 1 and ...
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- A function f satisfies the condition f(x) - f'(x) +f'(x) + f''(x) + .....
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- If f(x) = 2 sin^(-1)sqrt(1-x) +sin^(-1)(2-sqrt(x(1-x)) where x in (0,(...
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- Let f(x) = x + sinx. Suppose g denotes the inverse function of f, then...
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- If lim(t rarrx)(e^(t)f(x)-e^(x)f(t))/((t-x)(f(x))^2)=2 and f(0) =1/2 ,...
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- A function f: R rarr R satisfies sin x cosy (f(2x2y))-f(2x-2y))= cosxs...
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- If R=([1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2)), then R^(2/3) can be pu...
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- Let (f(x+y)-f(x))/2 = (f(y)-a)/2+xy for all real x and y . If f(x) is ...
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- If y = cos^(-1)""(9-x^2)/(9+x^2) then y^(1)(-1) is equal to
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- If t=(2sqrt2-(1+sqrt3))/(sqrt3-1) and f(x)=(2x)/(1-x^2),g(x)=(3x-x^3)/...
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- Let y = ln (1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y//2) eq...
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- If y = log ((x)/(a+bx)) , then x^3 (d^2y)/(dx^2)=
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- If f(x) =x^4 tan(x^3)-x1n(1+x^2) , then the value of (d^4(f(x)))/(dx^4...
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