Find the equation of the tangent line to the function f(x) = 3cos 2x – 1 at the point M(п/2,-1)
As Melody has said, the slope when x = pi/2 = 0.....and since the slope of the tangent line is 0, the line is just a horizontal one and will be given by [ y = the y coordinate of the point (pi/2, -4) ], i.e., y = -4
Here's the graph of the function and the tangent line.....https://www.desmos.com/calculator/0ekn0psfnf
However
y'=-6sin(2x)
When x= pi/2
Y'=-6 × 0 = 0
Incidentally y will equal -3-1 = -4
Thanks for your attempt, I also got the result -4... but I need an equation for it
As Melody has said, the slope when x = pi/2 = 0.....and since the slope of the tangent line is 0, the line is just a horizontal one and will be given by [ y = the y coordinate of the point (pi/2, -4) ], i.e., y = -4
Here's the graph of the function and the tangent line.....https://www.desmos.com/calculator/0ekn0psfnf