Question

find derivative of log secx with respect to tanx​

Answer 1

Step-by-step explanation:

Computing first derivative

∂log(sec(x))∂x

Applying differentiation rule∂log(f)∂x=∂f∂xf

∂sec(x)∂xsec(x)

Applying differentiation rule∂sec(x)∂x=sec(x)tan(x)

sec(x)tan(x)sec(x)

Simplifying expression

tan(x)

Final simplification and canonicalization

∂f∂x=tanx