A particle travels along a curve y = (x) as in Figure 16. Let L(t) be the

A particle travels along a curve y = ƒ(x) as in Figure 16. Let L(t) be the particle’s distance from the origin.

(a) Show that  if the particle’s location at time t is P = (x, ƒ (x)).

(b) Calculate L'(t) when x = 1 and x = 2 if ƒ(x) = √3x² − 8x + 9 and dx/dt = 4.

Transcribed Image Text:

dL dt x+ f(x)f'(x) √x² + f(x)² 2 dx dt