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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
- Let f(x) = x+ log(e)x-xlog(e)x,x in (0,oo) List I contains informati...
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- Match the Columns:
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- Match the Columns:
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- If f(x)={(x/(1+e^(1//x)),x!=0),(0,x=0):} then at x=0
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- If f(r)(x), g(r)(x), h(r) (x), r=1, 2, 3 are polynomials in x such th...
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- Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...
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- ABC is an isosceles triangle inscribed in a circle of radius rdot If A...
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- If f(x)=|x-2| and g(x)=f(f(x)) then g'(x)=
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- If ex^(xy)-y=sin^(2)x then (dy)/(dx) at x = 0 is
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- Fill in the blanks so that the resulting statement is correct. Let f(x...
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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...
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- Evaluate lim(xto0)(int(0)^(x^(2))cost^(2)dt)/(x sin x)
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- If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2
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- If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),fi...
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- Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...
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- Let f(x) = x^(3) - x^(2) + x + 1 and g(x) = {{:(max f(t)",", 0 le t le...
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- Let f(x) be defined on [-2,2] and be given by f(x)={(-1",",-2 le x l...
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- Let g(x) be a polynomial of degree one and f(x) is defined by f(x)={g...
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- Let f be a continuous, g be a discontinuous function. Prove that f + g...
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- Let f(x) be continuous function satisfying the condition f(-x) = f...
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