Write the equation of the tangent line of y = 2cosx at x = -pi/2. Help?!

1 Answer
Jul 24, 2017

#y=2x+pi#

Explanation:

#•color(white)(x)dy/dx=m_(color(red)"tangent")" at x = a"#

#y=2cosx#

#rArrdy/dx=-2sinx#

#"at "x=-pi/2#

#dy/dx=-2sin(-pi/2)=2#

#"and "y=2cos(-pi/2)=0#

#"equation of tangent using"#

#m=2" and " (x_1,y_1)=(-pi/2,0)#

#y-0=2(x-pi/2)#

#rArry=2x-pi#