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MODERN PUBLICATION-LIMITS AND DERIVATIVES-OBJECTIVE TYPE QUESTIONS - (D) VERY SHORT ANSWER TYPE QUESTIONS
- lim(x->0)(sin3x+7x)/(4x+sin2x)
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- lim(x->0)(sin5x)/(tan3x)
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- Evaluate : lim(x to 0)(1-cos2x)/(3x^(2))
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- lim(x->0)(3sinx-sin3x)/(x^3)
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- Evaluate: lim(xto0)(sin 3x)/(sin 7x)
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- Compute (lim)(x->0)(e^(3x)-1)/x
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- Evaluate : lim(x to 0)(2^(2+x)-9)/x.
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- If g(t)=1-4t^(2)," find "g^(')(1).
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- Find the derivative of the function f defined by f(x)=m x+c at x=0.
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- Find f^(')(2)" and "f^(')(5), where f(x)=x^(2)-7x+6.
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- For the function, f(x)=x^(2)-6x+8, prove that : f^(')(4)-3f^(')(2)=f...
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- If f(x)=x^n\ &\ f^'(1)=10, find the value of n.
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- Let G(x)=2-x^(3)+x^(5)/5. Find G^(')(-2).
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- Differentiate the following function with respect of x :(a x+b)/(p x^2...
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- Find the derivative of (1-cosx)/(1+cosx).
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- Find the derivative of 3sinx+2sinalpha, where 'alpha' is a constant.
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- Find derivative of the following functions (it is to be understood th...
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- If f(x)=(x+cosx)(x-tanx)," find "f^(')(x).
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- If f(x)=sqrt(sinx)," find "f^(')(x).
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- Find (dy)/(dx)" when "y=(x^(5)-cosx)/(sinx).
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