MATHEMATICAL ASSOCIATION OF AMERICA webwork/math 1115-summer-2018/ summer-assign

Question

MATHEMATICAL ASSOCIATION OF AMERICA webwork/math 1115-summer-2018/ summer-assignmento5/16 Summer-Assignment05: Problem 16 Previous ProblemProblem ListNext Problem (1 point Suppose that f(x)-6x +4. ? Find the slope of the line tangent tof(x) at x = 2, -24 (B) Find the equation of the line tangent tof(x) at x-2, y = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. You have 3 attempts left before new version will be requested. YrMar nverall rernr?d seem, is 50% MacBook Air 900 F 5 7 8 9

Explanation / Answer

SolutionA:

slope=dy/dx=d/dx(-6x^2+4)

=-6d/dx(x^2)+0

=-6(2x)

=-12x

=-12*2

=-24

ANSWER A:-24

SolutionB:

equation of line

y-y1=m(x-x1)

y=f(x)=-6x^2+4

for x=2

y=-6(2)^2+4

=-24+4

y=-20

equation of line with (2,-20) and slope=m=-24is

y-y1=m(x-x1)

y-(-20)=-24(x-2)

y+20=-24x+48

y=-24x+48-20=0

y=-24x+28

answer is

y=-24x+28

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