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MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -MCQs (LEVEL-II)
- Consider f(x)={{:((x^(2))/(|x|)","x!=0),(0","x=0.):}
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- There exists a function f(x) satisfying : f(0)=1,f(1)=-(1)/(e),f(x)g...
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- If f(a)=2,f'(a)=1,g(a)=-,g'(a)=2, then the value of lim(xtoa)(g(x)f(a)...
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- Let f be function satisfying f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x), for ...
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- If f(x) is odd differentiable function defined on (-oo,oo), such that ...
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- Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x), where g(x) is continuous. ...
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- The number of points at which the function : f(x)=|x-0*5|+|x-1|+tanx...
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- The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...
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- If x=sectheta-costheta,y=sec^(n)theta-cos^(n)theta, then ((dy)/(dx))^(...
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- The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...
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- The differentiable coefficient of x^(6) w.r.t. x^(3) is :
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- If y=(sinx)^cosx, then find (dy)/(dx).
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- The function f(x)=(x^(2)-1)|x^(2)-3x+1|+cos(|x|) is not differentiable...
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- If y=ce^(x//(x-a)), then 1/y(dy)/(dx) is equal to :
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- If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...
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- If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to
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- Derivative of (log x)^(4) is
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- If x=e^(y+e^(y+ . . . . .. "to "oo)),xgt0, then (dy)/(dx) is :
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- Suppose f(x) is differentiable at x=1 and lim(hto0)(1)/(h)(1+h)=5, the...
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- If f is a real valued differentiable function satisfying : |f(x)-f(y...
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