In Exercises 1–4, find the derivative of the function.

Define f(x) = 4x - 3 x² + 1 -e-x. a) Evaluate f(0.9) and f(1.0) correct to 2 decimal places. f(0.9) = f(1.0) =

Use differential calculus to find the exact intervals where the function is increasing or decreasing:   f(x) = x4-4x3-8x2+5

The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the year 1995 in which there were 35 crimes. If the number of crimes continue to decrease at a constant rate, create thw function to represent