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- If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot
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- Let f(x)a n dg(x) be two function having finite nonzero third-order de...
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- Differentiate log sinx w.r.t. sqrt(cosx).
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- If cosx/2dotcosx/(2^2)dotcosx/(2^3)...oo=(sinx)/x , then find the valu...
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- Differentiate tan ^(-1)(sqrt(1+x^2 )-1)/x w,r,t. tan ^(-1)x
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- If 0ltx<1, then="" prove="" that="" (1-2x)="" (1-x="x^2)+(2x-4x^3)/(1-...
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- Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...
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- If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+...
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- Find the derivative of tan^-1((2x)/(1-x^2)) w.r.t. sin^-1((2x)/(1+x^2)...
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- If |a1sinx+a2sin2x++ansinn x|lt=|sinx| for x in R , then prove that |...
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- Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...
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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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