Find stationary points and tangent information

01

Press these keys

GRAPH2ndTRACEminimum / maximum

02

Walkthrough

1
Locate candidates
Graph the function and find local extrema with the CALC minimum/maximum tools.
2
Check derivative
Use nDeriv at the x-coordinate; a smooth stationary point gives approximately 0.
3
Build tangent
Use y−y₁=m(x−x₁) with the point and numerical gradient.

03

Worked example

For f(x)=x²−4x+7, find the stationary point.

NORMAL FLOAT AUTO REAL MPminimum X=2 Y=3nDeriv(...,2)=0

AnswerStationary minimum at (2,3); tangent y=3.