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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
- If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...
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- If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is ...
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- If f(x)=sqrt(1-sin2x) , then f^(prime)(x) is equal to (a)-(cosx+si...
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- If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...
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- If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to
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- If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...
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- f^(prime)(x)=phi(x) and phi^(prime)(x)=f(x) for all x. Also,f(3)=5 and...
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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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- Each question contains statements given in two columns which have t...
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- Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)d...
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- If for some differentiable function f(alpha)=0a n df^(prime)(alpha)=0,...
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- Statement 1: If differentiable function f(x) satisfies the relation f(...
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- Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...
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- If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),f...
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- dy/dx=(sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2
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- If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a)(n y)/(sqrt(x^2+a^2...
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- If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (a) (sqrt...
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- (d)/(dx)cos^(-1)sqrt(cosx),0ltxlt(pi)/(2) is equal to
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- If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...
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- If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)...
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