Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3 - Page 140: 13

$f'(x)=\pi$$x^{\pi-1}-\frac{\sqrt {10}}{x^{(1+\sqrt {10})}}$

$f(x)=x^{\pi}+\frac{1}{x^{\sqrt {10}}}=x^{\pi}+x^{-\sqrt {10}}$ $f'(x)=\pi$$x^{\pi-1}-\sqrt {10}x^{-\sqrt {10}-1}$ $f'(x)=\pi$$x^{\pi-1}-\frac{\sqrt {10}}{x^{(1+\sqrt {10})}}$