1) Answer: [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
f(x) = 6x⁻¹
f'(x) = -6x⁻²
= [tex]\frac{-6}{x^{2}}[/tex]
f'(-2) = [tex]\frac{-6}{(-2)^{2}}[/tex]
= [tex]-\frac{6}{4}[/tex]
= [tex]-\frac{3}{2}[/tex]
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2) Answer: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
f(x) = -9x⁻¹
f'(x) = 9x⁻²
= [tex]\frac{9}{x^{2}}[/tex]
f'(6) = [tex]\frac{9}{(6)^{2}}[/tex]
= [tex]\frac{9}{36}[/tex]
= [tex]\frac{1}{4}[/tex]
