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Verified answer

1
y'=[- (10x-4)/(√(5x²-4x+3))] - [21/(x-4)⁸] 

2.
y' = -2^(cosx)*ln2*sinx*arctg(5x³) + [(150x⁵cosx)/(√(1-25x⁶))]

3.
y' = -e⁻ˣ * arcsin²(5x) + e⁻ˣ * [(10arcsin(5x)) / √(1-25x²)]

4.
y'=[- (2x*ctg(7x³))/√(1-x⁴)] - [(21x² * arccosx²)/sin²(7x³)]