Consider the function fx 9x2 7 Its tangent line at x 4 go

Consider the function f(x) = 9x^2 + 7|. Its tangent line at x = 4| goes through the points (3, y_1)|and (-9, y_2)|where y_1 =| pi y_2=| Your score was recorded. You have attempted this problem 3 times. You received a score of 0% for this attempt. Your overall recorded score is 0%. You have unlimited attempts remaining.

Solution

f(4) = 9(4)^2 + 7 = 9(16) + 7 = 151

Slope of the tangent line

m = f\'(4) = 18(4) = 72

Equation of tangent Line

y - 151 = 72(x-4)

y = 72x - 137

y1 = 72(3) - 137 = 79 = 25.15pi

y2 = 72(-9) - 137 = -785 = -250pi