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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
- Differentiate each of the following with respect to x in following que...
03:10
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- Let g: R -> R be a differentiable function with g(0) = 0,,g'(1)!=0.Let...
10:40
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- Let f(x)=sin((pi)/(6)sin((pi)/(2)sinx)) " for all "x in R and g(x)=(pi...
04:31
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- Let f:R to R and h:R to R be differentiable functions such that f(x)=x...
06:06
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- Let a , b in R and f:R to R be defined by f(x) =a cos (|x^(3)-x|)+...
03:47
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- Let f:[-1/2,2] rarr R and g:[-1/2,2] rarr R be functions defined by f(...
15:12
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- Let [x] be the greatest integer less than or equal to x . Then ,...
10:20
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- Let f(x)=(1-x(1+|1-x|))/(|1-x|)cos((1)/(1-x))" for "x ne1. then
05:16
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- Let f be two differentiable function satisfying f(1)=1,f(2)=4, f(3)=9,...
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- If f''(x) =- f(x) and g(x) = f'(x) and F(x)=(f((x)/(2)))^(2)+(g((x)/(2...
03:58
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- The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...
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- underset(xrarr(pi)/(4))(lim)(int(2)^(sec^(2)x)f(t)dt)/(x^(2-)(pi^(2))/...
02:38
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- (d^2x)/(dy^2) equals: ((d^2y)/(dx^2))^(-1) (b) -((d^2y)/(dx^2))^(-1)(...
05:26
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- Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...
04:52
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- Let g(x)=((x-1)^(n))/(logcos^(m)(x-1)),0ltxlt2 m and n integers, m ne0...
03:13
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- If underset(xto0)lim[1+xln(1+b^(2))]^(1//x)=2bsin^(2)theta,bgt0," and ...
01:52
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- Let f(x) = {{:(x^(2)|"cos"(pi)/(x)|",",x ne 0","x in R),(0",",x = 0):}...
11:06
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- If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then
03:28
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- Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...
05:02
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- Check the differentiability if f(x) = min. {1, x^(2), x^(3)}.
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- Let f(x) be a non-constant twice differentiable function defined on (-...
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