What is the equation of the line tangent

Breanna Fisher

Breanna Fisher

Answered question

2022-04-09

What is the equation of the line tangent to f(x)=x23x at x=2?

Answer & Explanation

titanspokey20urvn

titanspokey20urvn

Beginner2022-04-10Added 4 answers

Explanation:
to obtain the equation of the tangent we require the
slope and a point on it
y-b=m(x-a)
slope =f'(x) at x=2
f(x)=2x3f(2)=43=1
f(2)=46=2(a,b)=(2,2)
y+2=x-2
y=x4 equation of tangent

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