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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
- If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]|, find (dy)/(dx)
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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 value o...
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- Differentiate tan^(-1)((sqrt(1+x^2)-1)/x)w.r.t tan^(-1)x ,w h e r ex!=...
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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))(2co...
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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),t h e ns howt h a t d/(dx)cos^(-1){7/2(1+cos2x)+...
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- If f(x)=|x+a^2a b a c a b x+b^2b c a c b c x+c^2|,t h e n prove that ...
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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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