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BANSAL-LIMITS AND DERIVATIVES-All Questions
- Find (dy)/(dx) in the following: x^2+x y+y^2=100
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- Find (dy)/(dx) in the following: (a)x^3+x^2y+x y^2+y^3=81 (b) x...
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- Find (dy)/(dx) in the following: sin^2y+cosx y=pi
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- Find (dy)/(dx) of x^2+x y+cos^2y=1
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- Find (dy)/(dx) of y+siny=cosx
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- Find the derivative of (sinx)^(sinx),\ \ 0<x<pi .
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- Differentiate w.r.t. x the function (sinx-cosx)^((sinx-cosx)),pi/4<x<...
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- Differentiate w.r.t. x the function x^x+x^a+a^x+a^a , for some fixe...
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- Find the derivative of x^x^(2-3)+(x-3)^x^2 , for x >3
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- Find the derivatives w.r.t. x (i) log(e^x((x-2)/(x+2))^(3/4))
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- If y=f(x)=x^3+x^5 and g is the inverse of f find g^(prime)(2)
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- Let f(x) = exp(x^3 +x^2+x) for any real number and let g(x) be the inv...
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- If g is the inverse of f and f'(x)=1/(1+x^n) , prove that g^(prime)(x)...
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- Prove that derivative of sec^(-1)x is 1/(|x|sqrt(x^2-1)) if |x|>1 , us...
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- Find (dy)/(dx) for y=tan^(-1){(1-cosx)/(sinx)},-piltxltpi
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- D(tan^(-1)x+tan^(-1)(1/x))=
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- If y=(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x) , find ((dy)/(dx)])(x...
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- If y=tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))), find (dy)/...
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- Solve y=tan^(-1)((sqrt(1+x^2)-1)/x)
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- If f(x)=sin^(-1)((2^(x+1))/(1+4^x)) , find f^(prime)(0) .
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