展开 g'(1)(-3z^{10/9}-4z^{11/4}+8z^{4/3})

解答

展开

g^{'} (1) (- 3 z^{\frac{10}{9}} - 4 z^{\frac{11}{4}} + 8 z^{\frac{4}{3}})

- 3 z^{\frac{10}{9}} g' (1) - 4 z^{\frac{11}{4}} g' (1) + 8 z^{\frac{4}{3}} g' (1)

求解步骤

g^{'} (1) (- 3 z^{\frac{10}{9}} - 4 z^{\frac{11}{4}} + 8 z^{\frac{4}{3}})

打开括号

= g^{^{'}} (1) (- 3 z^{\frac{10}{9}}) + g^{^{'}} (1) (- 4 z^{\frac{11}{4}}) + g^{^{'}} (1) 8 z^{\frac{4}{3}}

使用加减运算法则

+ (- a) = - a

= - 3 z^{\frac{10}{9}} g^{^{'}} (1) - 4 z^{\frac{11}{4}} g^{^{'}} (1) + 8 z^{\frac{4}{3}} g^{^{'}} (1)

s im pl i f y (- x - u)^{2}

e x p an d 2 (y + x = 6) 2 y + 2 x

e x p an d (e^{2 t} + 1)^{3}

e x p an d cos (2) (x - 1) - 1

e x p an d \frac{1}{4} cos (2 θ) (3 + cos (4 θ))