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Next: 2.2 Differential Formulas Up: ANSWERS Previous: 1.6 Transcendental functions   Contents   Index

2.1 Derivatives

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