- #1
dyn
- 773
- 61
Homework Statement
The question asks to calculate ∂f/∂x for f(x,y,t) = 3x2 + 2xy + y1/2t -5xt where x(t) = t3 and y(t) = 2t5
Homework Equations
The answer is given as ∂f/∂x = 6x + 2y - 5t
The Attempt at a Solution
I'm confused because the answer given seems to treat x,y ,t as independent variables and the answer given is just a partial derivative treating y and t as constant. But really x,y.t are all dependent on each other. Is it even possible to obtain a partial derivative with respect to x in this case ?