Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Question

Find the derivative of the given function. Simplify and express the answer using positive exponents only. ​  ​

Quizplus · Accepted Answer

The given function is a power function of the form f(x) = ax^n, where a = 11ea984b_acdd and n = -1. To find the derivative, we use the power rule, which states that if f(x) = ax^n, then f'(x) = anx^(n-1). Applying this rule, we get:
f'(x) = (-1)(11ea984b_acdd)x^(-1-1) = -11ea984b_acddx^(-2)
Simplifying and expressing the answer using positive exponents only, we get:
f'(x) = 11ea984b_acddx^(-2)
which is equivalent to choice C.

Find the Derivative of the Given Function