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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXAMPLES (Numerical Answer Type Questions)
- If e^(y)+xy=e and e=2.71, then y''(0) is equal to
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- If y=log cos(tan^(-1)""(e^(x)-e^(-x))/(2)) then 2+(1)/(3)y'(0) is equa...
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- Let f(x)={{:(a sqrt(x+1)",",,"if "0lt x lt 3),(bx+3",",,"if "3 ge x lt...
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- Suppose that a differentiable f satisfies f(x+y)=f(x)+f(y)+3xy(x+y)-1/...
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- If f(4)=4 and f'(4)=3.1, then underset(x to 4)lim""(sqrt(f(x))-2)/(sqr...
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- If y=(1+1//x)^(x) then (sqrt(y(2)(2)+1//8))/((log3//2-1//3)) is equal ...
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- The derivatives of sec^(-1)[1//(2x^(2)-1)] with respect to sqrt(1-x^(2...
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- Let F(x)=f(x)g(x)h(x) for all real x, where f(x), g(x) and h(x) are di...
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- If the function f(x)=x^3+e^(x/2) and g(x)=f^(-1)(x), then the value of...
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- If x e^(xy)=y+sin^(2)x, then at x=0, dy/dx is equal to
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- If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosx cos(x+pi//3) and g(5//4)=1, the...
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- The function y=(x^(2)+1)^(50) is differentiated 70 times to get y(70)(...
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- Let f(x+y)=f(x)f(y) for all x, y in R and suppose that f is differenti...
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- Let u=(cos^(4)x) and v=sin^(2)x. Then |(d^(2)u)/(dv^(2))|(x=pi//6) i...
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- If y=log(x+sqrt(x^(2)-1))-(x)/(sqrt(x^(2)-1)) then ((d^(2)y)/(dx^(2))|...
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- Given a function g which has derivative g'(x) for all x satisfying g'(...
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- Suppose that a function f satisfies the following conditions for all r...
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