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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
- Evaluate d/dx(a^(sinx)+e^-x) by chain rule.
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- If f(x) = sin |x| -|x| , find f'(0^+)
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- Find the derivative of In sqrt((1-cosx)/(1+cosx)).
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- If y=cos^-1((a+bcosx)/(a+bcosx)) find dy/dx.
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- If y=tan^-1(cotx)+cot^-1(tanx), find (dy)/dx.
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- If y=tan^-1((3x-x^3)/(1-x^2)), find dy/dx.
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- If x=a((1+t^2)/(1-t^2)),y=(2t)/(1-t^2) find dy/dx at t=1/sqrt3.
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- If x=acos^30theta,y=bsin^30theta, find dy/dx.
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- If y=e^(x^(e^x)), find dy/dx.
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- If x^y+y^x=1, find dy/dx.
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- If e^x+e^y=e^(x+y), find dy/dx.
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- If x^yy^x=1, find dy/dx.
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- Find the derivative of tan^-1 (sqrt(1-x^2)/x)with respect to cos^-1x .
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- Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.
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- If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.
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- If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)
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- If u=f((x^2+y^2)/xy) prove that x(partialu)/(partialv)+y(partialu)/(pa...
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- If f(x+y)=f(x).f(y) forall x,y and f(5)=2 and f'(0)=3, then show that ...
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- If (fog) (1)=3, g(1) = 2, g(1) = 1,then show that f(2)=3.
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- If f(a)= 2, f'(a) = 1, g(a)=-1 and g'(a)=2, then find underset(xtoa)li...
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