Verified answer

[tex]\displaystyle\bf\\y=x^{5} +3x^{7} -10\sqrt{x}+6x-\pi\\\\y'=(x^{5} )'+3\cdot(x^{7} )'-10\cdot(\sqrt{x} )'+6\cdot x'-\pi '=\\\\=5x^{4} +3\cdot 7x^{6} -10\cdot\frac{1}{2\sqrt{x} } +6\cdot 1-0=\\\\=5x^{4} +21x^{6} -\frac{5}{\sqrt{x} } +6[/tex]