What is the equation of the tangent line

Sanai Huerta

Sanai Huerta

Answered question

2022-03-25

What is the equation of the tangent line of f(x)=x15 at x=225?

Answer & Explanation

Roy Brady

Roy Brady

Beginner2022-03-26Added 19 answers

Explanation:
We have an equation y=x15 and at the point x=225
compute for the slope m
f(x)=12x
m=f(225)=12225=130
Solve for the required point (x1,y1)
y1=22515=0
(x1,y1)=(225,0)
Solve for the equation of the tangent line
yy1=m(xx1)
y0=130(x225)
y=x30152

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