SOLUTION: What is the value of the slope of the tangent to the curve f (x) = x ^ 3 - x ^ 2 - 2x at x = +2 Thanks is advance

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Question 637344: What is the value of the slope of the tangent to the curve
f (x) = x ^ 3 - x ^ 2 - 2x
at x = +2
Thanks is advance
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

What is the value of the slope of the tangent to the curve at x = +2

f (x) = x ^ 3 - x ^ 2 - 2x      | Taking the 1st Derivative    

f '(x) = 3x%5E2+-+2x++-+2 

f '(2) = 3%2A4+-+2%2A2++-+2+=+6 , the slope-value 

y = mx + b

 y+=+highlight%286%29x+%2B+b    |Using (x,y) coordinate (2,0) to solve for b, f%282%29+=+8-4-4+=+0

 0 = 12 + b

-12 = b

EQ of the tangent line at x = 2 is y = 6x-12