Provide an Appropriate Response $$\text { What is the range of values of the slope of the curve } y = x ^ { 3 } + 5 x - 2 ?$$

question 437

Short Answer

Provide an appropriate response.
- $$\text { What is the range of values of the slope of the curve } y = x ^ { 3 } + 5 x - 2 ?$$

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Definitions:

Debris Flow

A moving mass of loose mud, sand, soil, rock, and water that travels down slopes and valleys, often caused by heavy rainfall or rapid melting of snow and ice.

Rock Avalanche

A rapid, massive descent of rocks down a hill or mountainside, typically triggered by natural processes like erosion or earthquakes.

Rotational Slide

A type of landslide that occurs along a concave upwards curve, causing the land mass to rotate about an axis.

Earth Flow

A type of mass wasting that involves the downslope movement of soil and rock material under the influence of gravity.