What is the derivative of f(x)=\cot(x)?

Lorraine Harvey 2021-12-18 Answered
What is the derivative of f(x)=cot(x)?
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macalpinee3
Answered 2021-12-19 Author has 29 answers
cot(x)=1tan(x), so f(x)=1tandx
The quotion rule:
d(g(x)h(x))=(g(x)h(x)g(x)h(x)g(x)2)dx,
So, we have,
g(x)=1, h(x)=tan(x), g(x)=0, h(x)=sec2(x)
Thus,
0×tan(x)1×sec2(x)tan2(x)=sec2(x)tan2(x)=csc2(x)
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Natalie Yamamoto
Answered 2021-12-20 Author has 22 answers
Derivative of cot(x) is equal to csc2(x).
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