Find the slope of the graph of the function at the given poi

Find the slope of the graph of the function at the given point.

f(x) = 3x⁴ ? 5x³ + 6x² ? 12x; (1, ?8)

Solution

f(x) = 3x⁴ ? 5x³ + 6x² ? 12x;

slope = f \' (x) at the given point (1,-8)

f \' (x) = 12x^3 - 15x^2 + 12x -12

slope = f\'(x) at (1, -8)

=> slope = 12 -15 +12 -12 = -3