1. Evaluate the following derivatives:

i. Take the derivative of x 2 ln(x)e x with respect to x.

ii. Take the derivative of t 2 (at + bt2 ) with respect to t.

2. Answer the following questions:

i. Take the derivative of x 66 x with respect to x.

ii. Find the tangent line to f(x) = x 2 when x = 1.

Provide a diagram of your results and explain.