Jika f(x)=csc(tanx),maka f'(x)=

dik : f(x) = csc(tanx)
dit : f'(x)
jawab :
f(x) = csc(tanx)
f(x) = 1/sin(sin/cos x)
f(x) = 1/cos x
f'(x) = u'v - uv'/(v^2)
f'(x) = 0(cosx) - (1×(-sinx))/(cos^2 x)
f'(x) = sinx/cos^2x
f'(x) = tanx.secx

semoga jawabannya benar ._.