next up previous contents index
Next: 2.2 導関数の計算 Up: 確認問題解答 Previous: 1.6 超越関数   目次   索引

2.1 導関数

1.

(a) 0 (b) $ \displaystyle{\frac{1}{2\sqrt{x-1}}}$ (c) $ \displaystyle{-\frac{2}{x^{3}}}$

2.

(a) $ 1$ (b) $ -6$

3.

(a) $ y = -x - 1$ (b) $ y = -12x + 21$ (c) $ \displaystyle{y = \frac{1}{4}x + 1}$

4.

(a) $ \displaystyle{y' = 55x^{4} - 18x^{2}}$ (b) $ \displaystyle{y' = \frac{2}{x^{3}}}$ (c) $ \displaystyle{y' = 3x^{2} - 6x - 1}$ (d) $ \displaystyle{y' = -\frac{1}{(x-2)^{2}}}$

(e) $ \displaystyle{y' = \frac{2(x^{2} + 3x + 1)}{(2x+3)^{2}}}$ (f) $ \displaystyle{y' = -\frac{3x^{2} - x + 1}{x^{2}(x-2)^{2}}}$ (g) $ \displaystyle{y' = \frac{2(x^{4} -1 )}{x^{3}}}$