Consider the following function: f(x) = -5x3 + 180x2 – 7x – 50

Consider the following function:

f(x) = -5x³ + 180x² – 7x – 50

a.) Solve for the “inflection point” of this function ( show your work).

b.) Solve for f ''(5) ( i.e., find the second derivative for the function if x = 5 ; show

your work).

c.) Is x = 5 in the concave region of the graph of this function OR in the convex region

of the graph of this function ( i.e., choose “ concave” or “convex”)?

Briefly explain how your answer to b.) is relevant.

Expert Solution

Rahul Sunny answered 2 years ago

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