How do you find the slope of a

Tyson Mcneil

Tyson Mcneil

Answered question

2022-04-12

How do you find the slope of a tangent line to the graph of the function f(x)=2x28x+4 at (5, 14)?

Answer & Explanation

embemiaEffoset4rs

embemiaEffoset4rs

Beginner2022-04-13Added 14 answers

The equation of the tangent in point-slope form is
yy1=m(xx1)
where m represents the slope and (x1,y1) a point on the tangent
Reminder
The slope of the tangent is dydx evaluated at x=5
dydx=4x8
x=5:dydx=208=12=m
Substitute m = 12 and (x1,y1)=(5,14) into the equation
y14=12(x5)y14=12x60
y=12x46 is the equation of the tangent

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