(Solved):     Differentiate each of the given functions using derivative formulas and rules. Sh ...

 

 

Differentiate each of the given functions using derivative formulas and rules. Show all work, Please make sure all exponents are positive. a) \( (6 \mathrm{pts}) \quad y=\left(x^{5}-4 e^{3 x}+5\right)^{7} \) b) \( (7 \mathrm{pts}) \mathrm{T}(t)=\frac{4 t^{3}}{t^{3}+5} \) c) \( (7 \mathrm{pts}) y=\ln \left(2 x^{3}-e^{x}\right) \) \( y=e^{4 x^{2}+3} \)