How do do you differentiate $f(x)= (x+sinx)/(cosx)$ ?

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Answer 1 · 2018-05-18T16:34:30

$f'(x) = frac{cos x + x sin x + 1}{cos^2 x}$

$f'(x) = frac{(1 + cos x) cos x - (x + sin x)(- sin x)}{cos^2 x}$

$= frac{cos x + cos^2 x + x sin x + sin^2 x}{cos^2 x}$

How do do you differentiate f(x)= (x+sinx)/(cosx)f(x)= (x+sinx)/(cosx)?