The derivative of f(x) at x = -1 is -8.
Derivative is the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.
According to the given problem,
f(x) = [tex]\frac{8}{x}[/tex]
Derivative of f(x),
⇒ f'(x) = [tex]-\frac{8}{x^{2} }[/tex]
At x = -1,
⇒ f'(-1) = [tex]-\frac{8}{(-1)^{2} }[/tex]
= -8
Hence, we can conclude, the derivative of f(x) at x = -1 is -8.
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