Question

Найти производную функции

Answer 1

1. y' = 3x²-2x-2

2. y' = cosx+3sinx

3. y' = 2e^2x - 3/3x

4. y' = 1/cos²x + 4/sin²x

5. y' = 2x*sinx + x²*cosx

Формулы:

(x^k)' = kx^(k-1)

(coskx/\sinkx)' = -ksinx/\kcosx

(tgx/\ctgx)' = 1/cos²x/\1/sin²x

(lnkx)' = 1*k/x

(e^kx)' = k*e^kx

(f(x)*g(x))' = f'(x)*g(x) + f(x)*g'(x)

UPD: (c*f(x))' = c*f'(x)