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# Multivariable chain rule intro

## Problem

Suppose we have a vector-valued function g, left parenthesis, t, right parenthesis and a scalar function f, left parenthesis, x, comma, y, comma, z, right parenthesis. Let h, left parenthesis, t, right parenthesis, equals, f, left parenthesis, g, left parenthesis, t, right parenthesis, right parenthesis.
We know:
\begin{aligned} &g(1) = (0, 2, 4) \\ \\ &g'(1) = (-1, 6, 2) \\ \\ &\nabla f(0, 2, 4) = (3, 5, 1) \end{aligned}
Evaluate start fraction, d, h, divided by, d, t, end fraction at t, equals, 1.
h, prime, left parenthesis, 1, right parenthesis, equals
Stuck?
Stuck?