Question

Consider the function, f(x)= -6x^2-8x+5 find the slope of the nagent line at the point, (3,4)

Answer 1

slope = - 44

Explanation:

the derivative of f(x) at x = 3 is the slope of the tangent line

f(x) = -6x² - 8x + 5

differentiate using the power rule

f'(x) = - 12x - 8

f'(3) = - 36 - 8 = - 44 ← slope of tangent line at (3, 4 )