Final answer:
The slope of the function y = 12x³ - 8x² + 7x + 5 when x = 7.93 is approximately 2115.57.
Step-by-step explanation:
The slope of a function can be found by taking the derivative of the function. In this case, the function is y = 12x³ - 8x² + 7x + 5. By taking the derivative of this function, we can find the slope at any given point.
To find the slope when x = 7.93, we first need to find the derivative of the function. The derivative of 12x³ - 8x² + 7x + 5 is 36x² - 16x + 7. Plugging in x = 7.93 into this derivative, we get 36(7.93)² - 16(7.93) + 7 = 2235.45 - 126.88 + 7 = 2115.57.
Therefore, the slope when x = 7.93 is approximately 2115.57.