(Solved): (5 points each) Use logarithmic differentiation and properties of logarithms to compute \( f^{\pri ...

(5 points each) Use logarithmic differentiation and properties of logarithms to compute \( f^{\prime}(x) \) for each of the following functions. (a) \( f(x)=\frac{e^{2 x}(x-7)^{6}}{\left(3 x^{2}+5\right)^{8}} \) (b) \( f(x)=\frac{x^{10} \cos ^{5} x}{(5 x+2)^{2 / 3}} \)