(tsin(t))^'

解答

(t sin (t))^{^{'}}

sin (t) + t cos (t)

求解步骤

(t sin (t))^{'}

使用微分乘法定则:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t, g = sin (t)

= t^{^{'}} sin (t) + (sin (t))^{^{'}} t

t^{'} = 1

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

= 1 \cdot sin (t) + cos (t) t

化简

= sin (t) + t cos (t)

\frac{\partial}{\partial x} (e^{x z} y^{3} - ln (x))

\frac{d}{d x} (arctan (11 x))

d er i v a t i v e e^{4 z} - 4 e^{- 4 z}

\frac{\partial}{\partial y} (sin (x) sin (y))

(x + y) d x - (x - y) d y = 0, y (1) = 0