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

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1 Answer

Vinícius Ferraz

May 18, 2018

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

Explanation:

#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}#

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