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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
- If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)
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- Find dy/dx if x^m y^n = (x/y)^(m+n)
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- Find (dy)/(dt), when y=sin^(-1)(2sqrt(t^(2)-1)/(t^(2)))
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- If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...
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- IF x^y=e^(x-y) then show that (dy)/(dx)=(logx)/[log(xe)]^2.
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- If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)
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- If x=a(cost+tsint) and y=a(sint-tcost), then find (d^(2)y)/(dx^(2)) at...
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- If cosx=sqrt(1/(1+t^2)),sin y=(2t)/(1+t^2) then show that (dy)/(dx) is...
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- Find (dy)/(dx), when y^(x)=x^(siny)
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- If y^2 cot x = x^2 cot y then find (dy)/(dx).
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- Find the derivative of x^(sinx) w.r.t.x.
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- Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...
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- Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...
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- Differentiate y=(siny)^(sin2x)
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- Test the differentiability and continuity of the following function at...
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- What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...
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- If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...
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- If y=e^(sin^(-1)x) and u=logx then what is (dy)/(du)?
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- Find the slope of the tangent to the curve x=2(theta-sin2theta),y=2(...
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- If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a
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