Question

Find the derivative of: y=sec(x)

Answer 1

y = sec(x)


y = 1/cos(x)


y = ( cos(x) )^(-1)


y' = -1( cos(x) )^(-2) * (-sin(x))


y' = (sin(x))/(cos^2(x))


y' = (sin(x))/(cos(x)*cos(x))


y' = (sin(x))/(cos(x))*(1/cos(x))


y' = tan(x)*sec(x)


y' = sec(x)*tan(x)