(((cos^3(t))^')^2)^'

解答

(((cos^{3} (t))^{^{'}})^{2})^{^{'}}

18 cos^{2} (t) sin (t) (- 2 cos (t) + 3 cos^{3} (t))

求解步骤

(((cos^{3} (t))^{'})^{2})^{'}

使用连锁律:

2 (cos^{3} (t))^{'} ((cos^{3} (t))^{'})^{'}

= 2 (cos^{3} (t))^{'} ((cos^{3} (t))^{'})^{'}

((cos^{3} (t))^{'})^{'} = - 3 (- 2 cos (t) + 3 cos^{3} (t))

= 2 (cos^{3} (t))^{^{'}} (- 3 (- 2 cos (t) + 3 cos^{3} (t)))

使用连锁律:

3 (cos (t))^{2} (cos (t))^{'}

= 3 (cos (t))^{2} (cos (t))^{'}

(cos (t))^{'} = - sin (t)

= 2 \cdot 3 (cos (t))^{2} (- sin (t)) (- 3 (- 2 cos (t) + 3 cos^{3} (t)))

化简

= 18 cos^{2} (t) sin (t) (- 2 cos (t) + 3 cos^{3} (t))

f a c t or (6 x + 1)^{3} - y^{3}

f a c t or - (ln (5))

f a c t or a x^{2} + b (e^{- x})

f a c t or x^{2} + 11 + 10

f a c t or 2 a - 5 b + (- 19)