S = t^(1/5) 【为方便输入,这里用^表示乘方,t的(1/5)次方即为t的5次方根】
S' = f'(t) = 1/5*t^(1/5-1) = 1/[5t^(4/5)]
t=4时,
速度v= f‘(4)= 1/[5*4^(4/5)] = 1/[5*2^(8/5)] = 1/[5*2*2^(3/5)] = 2^(2/5) / 5*2*2 = (5次根号4) /20
s = t^(1/5)
v = ds/dt = 1/5 t^(-4/5)
v(t=4) = 1/5 4^(-4/5)
0.06597m/s