Find an equation of the line that is tangent to the graph of f and parallel to t

BenoguigoliB

BenoguigoliB

Answered question

2021-09-27

Find an equation of the line that is tangent to the graph of f and parallel to the given line.
Function line
f(x)=x2 2xy+1=0

Answer & Explanation

delilnaT

delilnaT

Skilled2021-09-28Added 94 answers

Find the slope of the given line slope=2
2xy+1=0
Find the first derivative of x
f(x)=2x
The slope of the given line = the slope of the tangent line because the first line
f(x)=2x=2
The value of x
x=22=1
By substitute in the equation of the curve to find the point of tangency
f(1)=(1)2=1
y=1
The point of tangency (1,1)
Substitute by (1,1) and m=2 in the rule (yy1)=m(xx1)
(y1)=2(x1)
The equation of the tangent line
y=2x1
Result: y=2x1

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