`y = 1/x - 3sin(x)` Use the rules of differentiation to find the derivative of the function.

Textbook Question

Chapter 2, 2.2 - Problem 23 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Rewrite the `1/x`  term as a fraction.

`y= x^-1 -3sin(x)`

Take the derivative of the first term using the power rule.

`y'=-x^-2 -3cos(x)`

Simplify and eliminate the negative exponent.

The answer is:

`y'=-1/x^2-3cos(x)`

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