find the critical points of the following function.\nf(x)=3x² + 5x + 1\nwhat is the derivative of f(x)=3x² +…

find the critical points of the following function.\nf(x)=3x² + 5x + 1\nwhat is the derivative of f(x)=3x² + 5x + 1?\nf(x)=6x + 5\nfind the critical points, if any, of f on the domain. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the critical point(s) occur(s) at x=\n(use a comma to separate answers as needed.)\nb. there are no critical points for f(x)=3x² + 5x + 1 on the domain.

find the critical points of the following function.\nf(x)=3x² + 5x + 1\nwhat is the derivative of f(x)=3x² + 5x + 1?\nf(x)=6x + 5\nfind the critical points, if any, of f on the domain. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the critical point(s) occur(s) at x=\n(use a comma to separate answers as needed.)\nb. there are no critical points for f(x)=3x² + 5x + 1 on the domain.

Answer

Explanation:

Step1: Set derivative equal to zero

Set ( f^{\prime}(x)=0 ), so ( 6x + 5=0 ).

Step2: Solve for ( x )

Subtract ( 5 ) from both sides: ( 6x=-5 ). Then divide by ( 6 ): ( x =-\frac{5}{6} ).

Answer:

A. The critical point(s) occur(s) at ( x =-\frac{5}{6} )