Find the derivative of a complex function. y = log sin x
| August 13, 2021 | education
Derivative of a complex function: f (g (x)) ‘= f’ (g (x)) g ‘(x);
The derivative of the function f must be multiplied by the derivative of the inner function g.
y = log sin (x);
lg x is log base 10 of x, ln x is natural logarithm.
y` = (1 / (sin (x) ln10)) (cos (x)) = ctg (x) / ln10.
Answer: y` = ctg (x) / ln10.
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