展开 f'(x)(x+3)^2

解答

展开

f^{'} (x) (x + 3)^{2}

x^{2} f' (x) + 6 x f' (x) + 9 f' (x)

求解步骤

f^{'} (x) (x + 3)^{2}

(x + 3)^{2} = x^{2} + 6 x + 9

= f^{^{'}} (x) (x^{2} + 6 x + 9)

打开括号

= f^{^{'}} (x) x^{2} + f^{^{'}} (x) 6 x + f^{^{'}} (x) 9

= x^{2} f^{^{'}} (x) + 6 x f^{^{'}} (x) + 9 f^{^{'}} (x)

e x p an d (y - 4) (y^{2} = + 4 y + 16)

e x p an d e^{4 x} \cdot (e^{4 x} + 4 x e^{4 x})

e x p an d e^{x} (- x^{2} + 7)

e x p an d (x^{2} - x y) \frac{d y}{d x}

e x p an d \frac{7 ( 373 - 7 )}{18}