What is the vertex of # y=x^2/7-7x+1 #?
1 Answer
Explanation:
for co-ordinate of vertex
put
co-ordinate is
best method : by calculus
vertex is the lowermost(or uppermost) point
we have
at minimum or maximum slope of curve is 0 or
check if this point is of maximum or minimum by second derivative test(thisstep is not necessarily needed)
if second derivative is -ve it corresponds to point of maximum
if second derivative is +ve it corresponds to point of minimum
now put
and you will find coordinates as
and it's evident from the graph
graph{x^2/7-7x+1 [-10, 10, -5, 5]}