Question

найдите производную функции
y=x^4-cosx+log_3(sinx-2)+tgx

Answer 1

$y=x^4-cos(x)+ Log_{3} (sin(x)-2)+tg(x)$
$y'=(x^4)'-(cos(x))'+( Log_{3} (sin(x)-2)'+(tg(x))'$
$y'=4x^3-(-sin(x))+ frac{1}{cos(x)-2} Log_{3} e+ frac{1}{cos^2(x)}$
$y'=4x^3+sin(x)+ frac{ Log_{3}e }{cos(x)-2} + frac{1}{cos^2(x)}$