Page:Elements of the Differential and Integral Calculus - Granville - Revised.djvu/34

10 6. If $$\scriptstyle{f(m_1)=\frac{m_1-1}{m_1+1}}$$, show that

7. If $$\scriptstyle{\phi(x)=a^x}$$, show that $$\scriptstyle{\phi(y)\cdot\phi(z)=\phi(y+z)}$$.

8. Given $$\scriptstyle{\phi(x)=\log\frac{1-x}{1+x}}$$; show that

9. If $$\scriptstyle{f(\phi)=\cos\phi}$$, show that

10. If $$\scriptstyle{F(\theta)=\tan\theta}$$, show that

11. Given $$\scriptstyle{\psi(x)=x^{2n}+x^{2m}+1}$$; show that

12. If $\scriptstyle{f(x)=\frac{2x-3}{x+7}}$, find $\scriptstyle{f(\sqrt{2})}$.| |Ans. $\scriptstyle{-.0204}$.|undefined