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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
- Find (dy)/(dx) when : y=(x^5-cos x)/(sinx) .
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- Find (dy)/(dx) when : y=(x+cos x)/(tanx) .
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- Evaluate the following limit : lim(x rarr 1) (x^4-3x^3+2)/(x^3-5x^2+...
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- Evaluate the following limit : lim(x rarr 1)(1/(x-1)-(3(x-2))/(x^(3)...
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- Evaluate the following limit : lim(x rarr 1)(1/(x^2+x-2)-x/(x^3-1)) ...
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- Evaluate the following limit : lim(x rarr 3) (x^3- 7x^(2) + 15x - 9)...
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- Evaluate the following limit : lim(x rarr oo) sqrtx/(sqrt(x+sqrt (x+...
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- Evaluate the following limit : lim(x rarr 0)((1+x)^6-1)/((1+x)^2-1) ...
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- Evaluate the following limit : lim(x rarr oo) (ax^2+bx+c)/(dx^2+ ex+...
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- Evaluate the following limit : lim(x rarr oo)(sqrt(3x^2-1)+ sqrt (2x...
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- Evaluate the following limit : lim(x rarr oo)(sqrt(x^2+x+1)- sqrt(x^...
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- Let f (x) =(ax+b)/(x+1), lim(x rarr 0)f(x)=2 and lim(x to oo)f(x)=1 , ...
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- If lim(x to 0)kx cosec x= lim(x to 0) x cosec kx, show that k = +-1.
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- Evaluate the following : lim(xrarr 0)(2 sinx -sin 2x)/x^3 .
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- If alpha, beta are the zeroes of ax^2+ bx +c, then evaluate : lim(x ra...
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- Find the derivative of (4 sqrtx-2) w.r.t.x.
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- Find the derivative of (x^(n)-a^(n))/(x-a) for some constant a, x ne...
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- Find the derivative of the following from first principles : tan sqr...
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- Find the derivative of the following from first principles : x^2 cos...
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- Find the derivative of the following from first principles : root (3...
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