How do you differentiate $f(x)=2cscx+5cosx$ ?

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Answer 1 · 2017-05-20T16:45:49

$f'(x) = - 2 csc(x) cot(x) - 5 sin(x)$

We have: $f(x) = 2 csc(x) + 5 cos(x)$

$Rightarrow f'(x) = frac(d)(dx)(2 csc(x)) + frac(d)(dx)(5 cos(x))$

$Rightarrow f'(x) = 2 (- csc(x) cot(x)) + 5 (- sin(x))$

$Rightarrow f'(x) = - 2 csc(x) cot(x) - 5 sin(x)$

How do you differentiate f(x)=2cscx+5cosxf(x)=2cscx+5cosx?