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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Find dy/dx when tan(x+y) + tan (x-y) = 1
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- Find dy/dx when cot (y) + xy = y
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- Find (dy)/(dx), if sin^2 x + cos^2 y = 1
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- Find dy/dx when sec(x+y) = xy
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- Find dy/dx when tan^-1(x^2 + y^2) = a
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- If y = sqrt(1+sqrt(1+x^4)), prove that y(y^2-1)dy/dx = x^3
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- If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^...
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- If e^x + e^y = e^(x+y), prove that dy/dx = -e^(y-x)
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- If cos^(-1)((x^(2)-y^(2))/(x^(2)-y^(2)))=tan^(-1)a, then prove that (d...
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- If x^2 + y^2 = t + 1/t and x^4 + y^4 = t^2 + 1/t^2, then show that dy/...
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- If log sqrt(x^2 + y^2) = tan^-1 (y//x), then show that dy/dx = (x+y)/(...
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- If sqrt(x^2 +1) y = log(sqrt(x^2+1)-x), then show that (x^2 +1) dy/dx ...
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- If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show that dy/dx = sqrt((1-y^2)/...
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- If sqrt(1-x^6)+sqrt(1-y^6)=a^3(x^3-y^3), prove that : dy/dx = x^2/y^2s...
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- If y = sqrt(x+ sqrt(x + sqrt(x + ......oo))), show that (2y - 1) (dy)/...
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- y = sqrt(tan x + sqrt(tanx + sqrt(tanx + ...."to" oo))) prove that (2y...
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- Differentiate the following functions w.r.t.x : (x+1)^2 (x+2)^3 (x+3)^...
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- Differentiate the following functions w.r.t.x : sqrt((x-1)(x-2)(x-3)(x...
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- Differentiate the following functions w.r.t.x : e^x cos^3 x sin^4 x
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- Differentiate the following functions w.r.t.x : x^2 e^x sin x
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