Determine the differentials with respect to x of the following. Take care to show your method clearly and to simplify the results.1. \text { a) } \sin (x) \cdot \cos

(x) \text { b) } \ln \left(3 x^{2}\right) \text { c) } x \sqrt{2 x^{2}+14} \text { d) } \frac{e^{x}-e^{-x}}{2} \text { e) } \tan (x) \text { f) } 6 a x^{3}-4 a c