Let u = tanx and v = secx.
u = tanx > u is a function of x
v = secx > v is a function of x
Since both u and v are the functions of x, we can find the derivatives of u and v with resepct to x.
That is, ᵈᵘ⁄dₓ and ᵈⱽ⁄dₓ.


Our aim is to find the derivative of tanx with respect to secx. That is, derivative of u with respect to v.
When both u and v are the functions of x, formula to find the derivative of u with respect to v :
Substitute u = tanx, v = secx, ᵈᵘ⁄dₓ = sec^{2}x and ᵈⱽ⁄dₓ = secxtanx.
Derivative of tanx with respect to secx is cscx.
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