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- If y=(1/2)^(n-1)cos(ncos^(-1)x), then prove that y satisfies the diffe...
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- If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then ...
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- If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48...
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- "If "f(x)=|{:(x+a^(2),ab,ac),(ab, x+b^(2),bc),(ac,bc, x+c^(2)):}|," th...
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- If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (a)(-2)/(1+x^2) fo...
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- If f(x),g(x) and h(x) are three polynomials of degree 2, then prove th...
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- If f(x-y), f(x) f(y) and f(x+y) are in A.P. for all x , y ,and f(0)!=0...
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- If x^3+y^3+3a x y=0 , f i n d dy / dx
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- If 1 is the twice repeated root of the equation a x^3+b x^2+b x+d=0,t ...
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- If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)
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- If y=btan^(-1)(x/a+tan^(-1)y/x),find(dy)/(dx)dot
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- Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a)1/(2y-...
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- If y=sqrt(sinx+y), then find (dy)/(dx)
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- f(x)=|x^2-3|x|+2|dot Then which of the following is/are true f^(prime)...
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- If xsqrt(1+y)+ysqrt(1+x)=0, prove that dy/dx=(-1)/((1+x)^2
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- If x^3-2x^2y^2+5x+y-5=0 and y(1)=1, then (a)y^(prime)(1)=4/3 (b) y...
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- If x^y=e^(x-y), Prove that dy/dx=logx/(1+logx)^2
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- Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1)xdot Then (a)f^(prime)(10...
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- If sqrt(x) +sqrt(y)=4, f i n d (dx/dy) a t (y = 1).
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- If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value...
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