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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXAMPLES (LEVEL 1) Single Correct Answer Type Questions
- If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)), then y' (0) is
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- Let f(x)=sinx,g(x)=x^(2) and h(x)=lgo x. If F(x)=h(f(g(x))), then F''(...
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- Let y=e^(2x). Then ((d^(2)y)/(dx^(2)))((d^(2)x)/(dy^(2))) is
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- Let f(x+y)=f(x)f(y) for all x and y. If f(5)=2 and f'(0)=3 then f'(5) ...
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- If f''(x) is continuous at x = 0 and f''(0) = 4, then the value of u...
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- The solution set of f'(x)gt g'(x) where f(x)=(1//2)5^(2x+1) and g(x)=5...
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- The values of a and b such that the function f defined as f(x)={{:(a...
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- For a whole number n, if f(x)=x^(n-1)sin(1//x),x ne 0 and f(0)=0 then ...
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- (d)/(dx)(log(ax)^(x)), where a is a constant is equal to
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- cos^(- 1)((x^2-y^2)/(x^2+y^2))=loga find dy/dx
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- If (sin x)(cos y)=1//2 then d^(2)y//dx^(2) at (pi//4,pi//4) is equal t...
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- The set onto which the derivative of the function f(x)=x(log x-1) maps...
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- Let f (x) be a function satisfying f(x+y)=f(x)f(y) for all x, y in R a...
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- Let g=f^(-1) and f'(x)=(1)/(1+x^(4)) then g'(x) is equal to
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- Suppose for a differentiable function f, f(0)=0,f(1)=1 and f'(0)=4=f'(...
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- Let f(x)=||x-1|-1|, then all the points where f(x) is not differentiab...
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