Найти производную функции 1. (tg 4x)' 2. (ctg^3 5x)' 3. (x - cos 2x)' 4. (sin^2 x - cos^2...

Question

Найти производную функции 1. (tg 4x)' 2. (ctg^3 5x)' 3. (x - cos 2x)' 4. (sin^2 x - cos^2 x)' 5. (x^2 - 1) * ln x^3

Answer 1

1. 1/cos^2 4x * 4

2. - 3*ctg^2 5x * 1/sin^2 5x * 5

3. 1 + sin 2x * 2

4.  ?

5. (x^2 - 1)' * (ln x^3) + (ln x^3)' * (x^2 - 1) = 2x * ln x^3 + 1/3x^2 * (x^2 - 1)