What is the equation of the tangent line

swtda03u7bo

swtda03u7bo

Answered question

2022-03-25

What is the equation of the tangent line of f(x)=cos3xx2 at x=π3?

Answer & Explanation

haiguetenteme7zyu

haiguetenteme7zyu

Beginner2022-03-26Added 13 answers

Explanation:
We get
f(π3)=9cos(π3)3π2
f(x)=cos(x)2(3sin(x)x+2cos(x))x3
f(π3)=273π+28π3
This is the slope of the tangent line and the point
P(π3;9cos(π3)3π2)

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