How do you find the equation of the

Kendal Day

Kendal Day

Answered question

2022-04-16

How do you find the equation of the line tangent to f(x)=x2+2x+1, with the point (-3, 4)?

Answer & Explanation

llevochalecoiozq

llevochalecoiozq

Beginner2022-04-17Added 15 answers

Explanation:
The equation of the tangent is : y - b = m(x - a ) where m
represents the gradient and (a , b ) a point on the line.
Require to find m , (a , b ) is given (-3 , 4 ) Now m = f'(x).
f'(x) = 2x + 2 and f'(-3) = 2(-3) + 2 = - 6 + 2 = - 4 = m
Equation is : y - 4 = -4 ( x + 3 )
ie y - 4 = - 4x - 12
y+4x+8=0

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