Answer true or false for the following. If false, explain the correct solution.

1. The graph of y= 4sin (1/2 x) has many tangents with a slope of 4

2. Another way of expressing ln x^n is nlogx e

3. the nth derivative of y = 2e^kx will always be 2^n k^n e^kx

4. if y= e^f(x), then dy/dx = f(x)e^f(x)f'(x)