The equations below represent the total amount charged, y, by two different plumbers as a function of the number of hours worked
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Hi there!
Begin by differentiating f(x) using the power rule:
dy/dx = nxⁿ⁻¹
Therefore:
f(x) = 3x² - 5x + 10
f'(x) = 6x - 5
Set this equation equal to 0 to find the x-intercept:
0 = 6x - 5
5 = 6x
x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.
