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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
- Differentiate the following functions w.r.t.'x' : (xsin^-1x)/(sqrt(1...
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- Differentiate the following functions w.r.t.'x' : log (sin (logx))
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- Differentiate the following functions w.r.t.'x' : e^(3sqrtax)
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- Find dy/dx: y=(tanx)^(cotx)+(cotx)^(tanx)
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- Find dy/dx: y=(logx)^x
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- Find dy/dx: x^3+y^3=3axy
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- If sin y = x sin(a+y), than prove that dy/dx=(sin^2(a+y))/sina
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- Find the derivative of tan^-1((2x)/(1-x^2)) w.r.t. sin^-1((2x)/(1+x^2)...
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- Show that x/(1+x)ltlog(1+x)ltxforallxgt0.
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- Find the equations of tangent and normal to the curve y(x-2)(x-3)-x+7=...
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- Determine the maximum and minimum values of the function f(x)=2x^3-15x...
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- Evaluate : int(tansqrtxcdot sec^2sqrtx)/(sqrtx)dx
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- Evaluate : int(xe^x dx)/((x+1)^2
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- Evaluate : int0^1(x^5)/(1+x^12)dx
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- Evaluate : int0^(pi//2) cos^3xcdot sinx dx
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- Solve the following differential equations: (xy^2+x)dx+(yx^2+y)dy=0
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- Solve the following differential equations: dy/dx=e^(x+y)+x^2 e^y
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- The value of lim(nrarrprop) ((n+1)(2n+1))/n^2 is
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- The derivative of sqrt((e^(sqrtx))) with respect to x is
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- If ysqrt(1-x^2)+xsqrt(1-y^2)=1 when |x|lt1 and |y|lt1 find dy/dx
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