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TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST
- If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...
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- if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...
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- If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...
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- If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...
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- If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/...
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- If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...
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- If the function f defined on R-{0} os a dIfferentiable function and f(...
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- If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...
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- If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x, then (dy)/(dz)=
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- If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...
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- Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...
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- If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...
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- If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim(x...
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- If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...
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- If y=sinx[1/(sinxsin2x)+1/(sin2xsin3x)+...+1/(sinnx sin (n+1)x)]the...
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- if y=e^(sin^2x+sin^4x+sin^6x+............oo) then find (dy)/(dx)
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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)++ u...
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- If y=a sin (bx+c), then yn=
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- If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...
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- If p=a^2cos^2theta+b^2 sin^2 theta, where a^2+b^2+c^2 ,then 4p+(d^2p)...
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