Final answer:
The chain rule for paths allows us to find the derivative of a composition of functions using the chain rule.
Step-by-step explanation:
The chain rule for paths allows us to find the derivative of a composition of functions using the chain rule. In this case, we want to find d/dt f(c(t)) at t=1. To do this, we first find the derivative of f(c(t)) with respect to t using the chain rule. Then, we substitute t=1 into the derivative to find the value of the derivative at that point.