If y=x^4+2x^2+2, show that dy/dx=4x√y-1 (using differential techniques)

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#integration miscellaneous exercise class 12 #miscellaneousexercise#integration

Examine the function f(x ,y)=x^4+y^4-2x ^2+4xy-2y^2 for extreme values and find minimum value.

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Find intervals of concavity, inflection points, increasing decreasing intervals f(x) = x^4 - 2x^2 +3

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Find the derivative dy/dx using chain rule for y = x^3 (2x -5)^4

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Simplify, (x ^ 4 - 2x ^ 2 + 1)/(x ^ 2 - 2x + 1)