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If sin (x + y) = y cos (x + y) then prov...

If sin (x + y) = y cos (x + y) then prove that
`dy/dx =-(1 + y^2)/y^2`

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SHARAM PUBLICATION-QUESTION PAPER 2020-EXERCISE
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  2. Examine the continuity of the following function at x = 0 :f(x)={(2x+1...

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  3. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

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  4. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  6. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

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  8. Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...

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  9. The area between x=y^(2) and x=4 is divided into two equal parts by th...

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  10. Solve: xdy/dx+y=y^2ln x

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  11. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

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  12. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

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  14. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

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  15. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  17. If "sin"^(-1)x + "sin"^(-1)y +"sin"^(-1)z = pi "prove that" x^4+y^4+z^...

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