2.2.35 Derivatives and differentials

Condition: Find the derivatives \( d y / d x \) using differentiation formulas. a) \( y=\frac{2 x-7}{x^{2}+3 x} \) b) \( y=3^{\tan x}-\sin ^{2} 4 x \) c) \( y=4 e^{\sin ^{-1}(1+x)} \), d) \( y=\sqrt{\left(5-x^{2}\right)\left(x^{3}-9 x\right)} \)