1/secx in derivative?

2 Answers
May 3, 2018

#-sin(x)#

Explanation:

Since #sec(x)# means #1/cos(x)#, then #1/sec(x)# is #cos(x)# itself. And thus, its derivative is #-sin(x)#

May 3, 2018

#-sinx#

Explanation:

#"assuming you require the derivative of "1/secx#

#"using the "color(blue)"trigonometric identity"#

#•color(white)(x)cosx=1/secx#

#rArrd/dx(cosx)=-sinxlarrcolor(blue)"standard derivative"#