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Answer:
[tex]8x^7+15x^2-6[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\frac{d}{dx}\hspace{0.08cm}x^8+5x^3-6x+9=8x^{8-1}+(3)5x^{3-1}-(1)6x^{1-1}=8x^7+15x^2-6[/tex]