Field Guide/Calculus/Graphical gradient
Core3 min

Estimate gradient from a graph

You need a tangent gradient estimate from a plotted function.

01

Press these keys

2ndPRGMDRAW5:Tangent(

Step 1 of 4. Press 2nd.

02

Walkthrough

  1. 1
    Graph the function

    Choose a window that makes local shape visible.

  2. 2
    Draw tangent

    Use 2nd → PRGM (DRAW) → Tangent(, then select the point or enter its x-value.

  3. 3
    Read equation

    The displayed line has form y=ax+b; a is the numerical gradient.

03

Worked example

Estimate the gradient of y=x² at x=3.

AnswerGradient ≈6.