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BANSAL-LIMITS AND DERIVATIVES-All Questions
- Two functions f & g have first & second derivatives at x=0 & satisfy t...
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- Let P(x) be the polynomial x^3+a x^2+b x+c , where a ,\ b ,\ c in R ....
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- If sqrt(y+x)+sqrt(y-x)=c (where c!=0 ), then dy/dx
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- For the function y=f(x)=(x^2+b x+c)e^x , which of the following holds?...
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- Let f'(x)=3x^2sin1/x-xcos1/x , if x!=0\ ; f(0)=0 and f(1//pi)=0 then: ...
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- If f(x)=xdot|x|, then its derivative is : (a)2x (b) -2x (c) 2|x|...
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- Find derivative of u(x) u( x )= [ ln( 1+ sin2x ), if x>0 ...
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- find v( x )= Lim t→0 2x/ π tan −1 ( 2 /t )
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- ("Lim")(n->oo)((1+tanpi/(2n))/(1+sinpi/(3n)))^n equal
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- ("Lim")(x->0^+)1/((1+"c o s e c"x)^(1/(ln(sinx)))) equals
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- ("Lim")(x->0)(2/picos^(-1)x)^(1//x) equals
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- Evaluate: intsqrt((1-sin2x)/(1+sin2x))dx
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- Find the differentiation of ((cot^2x-1)/(cot^2x+1)) w.r.t. \ x
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- Find the differentiation of sqrt(sec^2x+"c o s e c"^2x) w.r.t. \ x
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- Find the differentiation of (1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) w.r.t. \...
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- Find the differentiation of (log)(sqrt(x))(1/x) w.r.t. \ x
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- Find the differentiation of |x-1|+|x-3| at the point x=2 w.r.t. \ x
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- Find the differentiation of cos(1-x^2)^2 w.r.t. \ x
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- Find the differentiation of sin^("n")xcosn x w.r.t. \ x
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- Find the differentiation of log(sqrt(x-a)+sqrt(x-b)) w.r.t. \ x
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