How do you find the equation of the tangent line of the function #f(x) = sin(2x)# when given the point (#pi,0#)?
How do you find the equation of the tangent line of the function #f(x) = sin(2x)# when given the point (#pi,0# )?
How do you find the equation of the tangent line of the function
1 Answer
Explanation:
The tangent line of a curve
As we are given
Using that
#=cos(2x)(d/dx2x)#
#=2cos(2x)#
Thus
Plugging this into our equation for the tangent line, we get
Graphed together: