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Question Number 122348 by liberty last updated on 16/Nov/20

 Find the derivative (dy/dx) of the following  implicit function ∫_(π/2) ^x (√(3−2sin^2 z)) dz + ∫_0 ^y  cos t dt.

$$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{derivative}\:\frac{\mathrm{dy}}{\mathrm{dx}}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{implicit}\:\mathrm{function}\:\underset{\pi/\mathrm{2}} {\overset{\mathrm{x}} {\int}}\sqrt{\mathrm{3}−\mathrm{2sin}\:^{\mathrm{2}} \mathrm{z}}\:\mathrm{dz}\:+\:\underset{\mathrm{0}} {\overset{\mathrm{y}} {\int}}\:\mathrm{cos}\:\mathrm{t}\:\mathrm{dt}.\: \\ $$

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