Learning tool
Tangent Explorer
Drag the point along the curve. The green tangent line's slope is the derivative — turn on the secant to see why it's the limit as the gap shrinks to zero.
0.000
Tangent slope f ′(x)
0.000
exact ( 3x² − 3 )
Want the full picture? Read From Slopes to Derivatives or test yourself in Derivative Duel.