Use the last six digits of your NTU username to give values to a, b, c, d, f and g in this coursework, but replace any zeros with the value

1, as shown in this example: N 0876540 \rightarrow N \text { Mabcdfg: } a=8, b=7, c=6, d=5, f=4, g=1 Note: e is not used for one of these values to avoid confusion with the(natural) exponential \text { function, i.e. } \left.e^{!} \equiv \exp (x) \text { in this coursework. Part } 1\right) 1) Differentiate y = a x' es ' (which may also be written y = a x' exp(-c x))with respect to x, using the product rule. 2. 2) Differentiate y = a x'/es' (which may also be written y = a x'/exp(c x) )with respect to x, using the quotient rule. 3. 3) Explain what you notice about your answers.