Find the Slope of the Curve at the Given Point $y = 4 - x ^ { 3 } , ( - 1,5 )$

question 14

Multiple Choice

Find the slope of the curve at the given point P and an equation of the tangent line at P.
- $y = 4 - x ^ { 3 } , ( - 1,5 )$

• A) slope is \(- 1 ; y = - x + 2\)
• B) slope is \(0 ; y = 2\)
• C) slope is \(- 3 ; y = - 3 x + 2\)
• D) slope is \(3 ; y = 3 x + 2\)

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Definitions:

Defective Parts

Items or components that fail to meet quality specifications or standards within a manufacturing process.

Assembly Line

A manufacturing process in which parts are added to a product in a sequential manner to create a finished product efficiently.

Lower Confidence Bound

The lower limit of a confidence interval, below which the true parameter of a population is expected not to fall.

Population Means

The average value of a particular characteristic in the entire population being studied.