Calculate $ \frac{\mathrm d}{\mathrm dt} f (g(t^2),g(t^4)), $ where $f$ is a differentiable function of two variables and $g$ is a differentiable function of one variable. Your answer should be expressed in terms of $f, g$ and their derivatives and/or partial derivatives.
I am assuming it is a partial derivatives question. I have never encountered one like this before. Any help would be much appreciated.