# 1. Calculate the first derivative of the following function:
# 2*x^4 + 3*x^2 + 2*x + 7

# 2. Calculate the second and fourth derivative of the function above.

# 3. Graph 2*sin(2*x) and its derivative on a graph, using two different colors to represent the different functions

# 4. Find the point of intersections between 0 and pi

# 5. Graph the points of intersection

# f' is the derivative of f and the individual y-values correspond to the tangent slopes at those points
# When f’ is positive, that means that f is increasing at that point and when f’ is negative it means that f is decreasing at that point
# The derivative of a function gives you the slope of that function