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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
- Evaluate : lim(x rarr 0)(3sin^-1 x)/(4(e^x-1))
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- Evaluate : lim(x rarr 0)log(1+5 x)/(e^(2x)-1)
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- Evaluate : lim(xrarr0) (sin(1+x)-sin(1-x))/x
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- Evaluate : lim(xrarr0) (tanx-sinx)/x^3
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- Differentiate the following functions w.r.t.'x' : cossqrt((x^2+3x+4)...
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- 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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