Page:Calculus Made Easy.pdf/172

 (7) $$y=(x+3)^2 \sqrt{x-2}$$.

(8) $$y=(x^2+3)^3(x^3-2)^{\frac{2}{3}}$$.

(For if $$y=\log_\epsilon(x^2+3)$$, let $$x^2+3=z$$ and $$u=\log_\epsilon z$$.

Similarly, if $$v=\log_\epsilon(x^3-2)$$, $$\dfrac{dv}{dx} = \dfrac{3x^2}{x^3-2}$$) and

(9) $$y=\dfrac{\sqrt[2]{x^2+a}}{\sqrt[3]{x^3-a}}$$.