Question

find the slope of the curve y= sin x/x at the point x=π/4.

Answer 1

Find dy/dx at x = pi/4
Use quotient rule to differentiate

Answer 2

dy/dx=(cosx/x)-(sinx/x^2)
dy/dx|_{pi/4}=((4/pi)-16/pi^2)/sqrt(2)

Answer 3

what did u do in the last step?

Answer 4

i just put x=pi/4

Answer 5

dy/dx|_{pi/4} means value of dy/dx at pi/4

Answer 6

oh ok :)