What is the equation of the line tangent

Bryant Jacobs

Bryant Jacobs

Answered question

2022-04-07

What is the equation of the line tangent to f(x)=x4+9x2x at x=1?

Answer & Explanation

tutaonana223a

tutaonana223a

Beginner2022-04-08Added 15 answers

Explanation:
Require to find f'(1) which is the value of the tangent gradient (m)
equation of tangent in form y = mx + c
Also require f(1) to find value of c.
hence f(x)=4x3+18x1
and f'(1)=4+18-1=21 also f(1)=1+91=9(1,9)
equation then is y = 21x + c and using ( 1,9) to find c.
hence: 9=21+cc=12
therefore equation of tangent is y = 21x - 12

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