velocity after 50 seconds. Tangent line at point (50, 25) is f′(x)=x− 25.
Iny=mx+b form, m is the slope of the equation. m= 1. The
instantaneous velocity after 50 seconds and 25 meters, at that moment, is
1m/s.
Image 4-5: Distance-Time Graph IVThis idea is the central idea of a calculus, also known as derivative.
First Derivative= (^) ddx[f(x)]= lim.
Δx→ 0 Δx
f(x+Δx)−f(x)