Name: 1. Differentiate each of the following: $(2,3,3,5,3,5,4,5,5$ marks $)$ a. $y=-3 x+5 e^{x}$

Step 1 ：Given the function: \(y = -3x + 5e^x\)

Step 2 ：We need to find the derivative of the function with respect to x.

Step 3 ：Using the power rule for differentiation, the derivative of \(-3x\) is \(-3\).

Step 4 ：Using the chain rule for differentiation, the derivative of \(5e^x\) is \(5e^x\).

Step 5 ：Combining the derivatives, we get: \(dy/dx = -3 + 5e^x\)

Step 6 ：\(\boxed{dy/dx = 5e^x - 3}\)