Question

Asked Oct 18, 2019

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Determine where the graph of the function is concave upward and where it is concave downward. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or ∅.)

f(x) = 3x^{4} − 30x^{3} + x − 4

Step 1

Given,

Step 2

The graph of y = f (x) is **concave upward** on those intervals where its second derivative is greater than zero and the graph of

y = f (x) is **concave downward** on those intervals where its second derivative is less than zero.

Therefore differentiating given function with respect to x, we get

Step 3

Now computing the values of x for which second deriva...

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