Find an example of a point (x,y) on the graph of f(x)=2cos(x) where the tangent line has a slope of exactly 1.

Armorikam

Armorikam

Answered question

2021-02-09

Find an example of a point (x,y) on the graph of f(x)=2cos(x) where the tangent line has a slope of exactly 1.

Answer & Explanation

sovienesY

sovienesY

Skilled2021-02-10Added 89 answers

If u derivate the function f(x) u will have a function [f(x)] that will give u the slope for any value of x:
so, the derivate of the function f(x)=2cos(x)isf(x)=2sin(x), now to evalute where the derivate is equal to 1 (the slope that are asking for).
1=2sin(x)sin112=π6=0.53
So the x,y coordinate are (-0.53 , 1.72)

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