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- If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8| then find the val...
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- Let f((x+y)/(2))= (f(x)+f(y))/(2) for all real x and y. If f'(0) exits...
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- If y^(1/m)=(x+sqrt(1+x^2)),t h e n(1+x^2)y2+x y1 is (where yr repres...
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- Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and deriva...
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- f(x)+f(y)=f((x+y)/(1-xy)) ,for allx,yinR.(xy!=1),and lim(x->0) f(x)/x=...
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- Let f: R->R satisfying |f(x)|lt=x^2,AAx in R be differentiable at x...
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- If f(x)=sin^(-1)cosx , then the value of f(10)+f^(prime)(10) is (a)11-...
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- If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) at (pi/4,pi/4) is
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- Suppose p(x)=a0+a1x+a2x^2+...+an x^ndot If |p(x)|lt=|e^(x-1)-1| for al...
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- Let f(x+y)=f(x)dotf(y) for all xa n dydot Suppose f(5)=2a n df^(prime)...
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- A function f satisfies the condition f(x)=f^(prime)(x)+f''(x)+f'''(x)....
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- Let f(x y)=f(x)f(y)AAx , y in Ra n df is differentiable at x=1 such t...
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- Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1...
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- Find (dy)/(dx) for the functions: y=x^3e^xsinx
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- d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b)...
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- If y=tan^(-1)(1/(1+x+x^2))+tan^(-1)(1/(x^2+3x+3))+tan^(-1)(1/(x^2+5x+7...
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- Let g(x) be the inverse of an invertible function f(x) which is diff...
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- If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2...
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- Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...
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- If cosy=xcos(a+y), with cosa!=+-1, prove that (dy)/(dx)=(cos^2(a+y))/(...
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