Sketch a SINGLE graph that includes all of the conditions below. • f'(x) > 0 when - 4< x < 1 f'(x) < 0 when x < -4 and when x > 1 - 5 f(-4) f(1) = 5

If f(x) = 3x² - x³, find f'(x), ƒ''(x), ƒ'''(x), and f(4)(x). f'(x) = f"(x) = f'(x) = f(4) (x) = Graph f, f', f", and f"" on a common screen. Are the graphs consistent with the geometric interpretations of these derivatives? The graphs ---Select--- consistent with the geometric interpretations of the derivatives because f' ---Select--- --Select--- ✓where f' has a slope of m = 0, and f"" is ---Select--- ✓function equal to the slope of f". ✓where f has a slope of m = 0, f"

Graphs 16. Determine whether each of the following functions are even, odd or neither. » S(x) 1 a) f(x)= x' +1 b) g(h) = 2x* +3x² c) x' +x

find all the values of x at which the curve has a slope of -1. f(x) = 5 +x -3x^2