Question

Find the derivative of f(x) = 8 divided by x at x = -1.
A. 4
B. 0
C. 8
D. -8

Answer 1

If f(x)=8/x it means f'(x) = -8/x^2
f'(x) -> derivative
so f'(-1) will be -8/1=-8
The answer is D

Answer 2

The derivative of f(x) at x = -1 is -8.

What is a derivative?

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) = $\frac{8}{x}$

Derivative of f(x),

⇒ f'(x) = $-\frac{8}{x^{2} }$

At x = -1,

⇒ f'(-1) =  $-\frac{8}{(-1)^{2} }$

          = -8

Hence, we can conclude, the derivative of f(x) at x = -1 is -8.

Learn more about derivative here: https://brainly.com/question/23847661

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