Combine the Terms Y And $y ^ { \prime }$ Into the Derivative of a Product

True/False

Combine the terms y and $y ^ { \prime }$ into the derivative of a product: $y ^ { \prime } \tan t + y \sec ^ { 2 } t = 1$ .
Is this derivative correct: $\frac { \mathrm { d } } { \mathrm { dt } } [ \mathrm { y } \tan \mathrm { t } ] = 1$ ?