Answer:
Step-by-step explanation:
Average speed can be given by:
, where is the total distance travelled and is the time it takes to travel said distance.
Vincent total travels kilometers in a total time of:
.
Therefore, his average speed during the entire trip is:
50km/h.
Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
B.