SOLUTION: Determine the equation of the tangent line to the curve 𝑦 = −𝑥
2 − 3𝑥 + 4 at 𝑥 = 2.
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Question 1205498: Determine the equation of the tangent line to the curve 𝑦 = −𝑥
2 − 3𝑥 + 4 at 𝑥 = 2.
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
At x=2...
The equation of the tangent line to the curve at (2,-6) is
ANSWER: y=-7x+8
A graph, showing a tangent at (2,-6)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the equation of the tangent line to the curve
at
The gradient of the tangent is equal to the derivative of the curve evaluated at the point where the curve and tangent line meet.
at ,
point of tangency is at (,)
’ =
compute the value of the derivative function at
'
so, slope is
use the point-slope formula of a line, substitute the values above
=> tangent line
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