Choose the correct option/s from below to complete the following sentence.
If the second derivative of a function is:

Question

Choose the correct option/s from below to complete the following sentence. 
 If the second derivative of a function is:

Accepted Answer

positive at a critical point   x=c , then the graph of the function is concave up and the function has a local minimum at   x=c .

Accepted Answer

zero at a critical point   x=c , then the graph of the function is neither concave down nor concave up at   x=c .

Accepted Answer

negative at a critical point   x=c , then the graph of the function is concave down and the function has a local maximum at   x=c .

Answer

negative at a critical point   x=c , then the graph of the function is concave down and the function has a local minimum at   x=c .

Answer

positive at a critical point   x=c , then the graph of the function is concave down and the function has a local maximum at   x=c .

Answer

negative at a critical point   x=c , then the graph of the function is concave up and the function has a local minimum at   x=c .

Crowdly