26-11-2018
Mathematics

contestada

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

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jimrgrant1 jimrgrant1

26-11-2018

Answer:

slope = - 44

Step-by-step 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 )

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