Last one I need help with!
Find an equation for the line tangent to the
graph of f(x) = 2x + 3/3x − 2
at the point P(1, f(1)).
a. 13x − y = 8
b. 13x + y = 18
c. x + 13y = 66
d. −2x + 3y = 13
e. x − 13y = 64

Question

Last one I need help with!
Find an equation for the line tangent to the
graph of f(x) = 2x + 3/3x − 2
at the point P(1, f(1)).
a. 13x − y = 8
b. 13x + y = 18
c. x + 13y = 66
d. −2x + 3y = 13
e. x − 13y = 64

agent0smith · Answer

Find the derivative.

Plug in the given x value into the derivative, to find the slope at the point P(1, f(1)).

That slope is the m in y = mx + b.

Find b, by plugging in the given x value and the y-value (the y value is f(1) ).