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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
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- The function f defined by f(x)={{:((sinx^(2))/(x)",",,"for "x ne0),(...
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- The derivative of tan^(-1)((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1)((2x ...
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- Let f(x)=x^(n), n being a non-negative integer. The value of n for whi...
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- The function f(x)=|x^(3)| is
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- The set of all points of differentiability of the function f(x)=e^(-|x...
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- If x=log t and y=t^(1)-1, then y''(1) at t = 1 is
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- For a differentiable function f on R there is an x(0) with f'(x(0))=...
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- Let f be defined by f(x)=|x-2|+|x|+|x+2| for x in R then
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- Let f be defined on R by f(x)=x^(4)sin(1//x), if x ne 0 and f(0)=0 the...
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- If x^(y)=e^(x-y) then Find (dy)/(dx)
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- If f is one-one and satisfies f'(x)=sqrt(1-(f(x))^(2)) then (f^(-1))'(...
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- The function y=sin^(-1)x satisfies
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- Let f be a one-one function satisfying f'(x)=f(x) then (f^(-1))''(x) i...
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- If y=cos^(-1)(x^(-1)) then y'(-2) is equal to
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- If x=sin^(-1)(t^(2)-1),y=cos^(-1)(2t) then (dy)/(dx) at t = 0 is
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- If tan^(-1)y-y+x=0 then (d^(2)y)/(dx^(2)) is equal to
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- If F(x)=|{:(x,x^(2),x^(3)),(1,2x,3x^(2)),(0,2,6x):}| then F'(x) is equ...
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- If y=(sin^(2)x)/(1+cot x)+(cos^(2)x)/(1+tanx) then y'(x) is equal to
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- If z(t)=sqrt(t^(3)+1), then z'(2) is equal to
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