If f(x,y) = sin (x,y), x = 3t and y = t^2. Consider z(t) = f(x(t),y(t)), for all t belongs to R.

(a) Calculate z'(t) directly.

(b) Calculate z'(t) using the chain rule.

Question

If f(x,y) = sin (x,y), x = 3t and y = t^2. Consider z(t) = f(x(t),y(t)), for all t belongs to R.

(a) Calculate z'(t) directly.

(b) Calculate z'(t) using the chain rule.

calculusfunctions · Answer

Alright, let me help you, but since this is your first question ever, you should know that I'm not going to just give you the answer. I will however, teach you and guide you towards the correct solution so that you may solve similar problems in the future, with ease.

Let me begin by asking, how much do you know about the chain rule?

calculusfunctions · Answer

@Ana2, Are you there?

calculusfunctions · Answer

Also double check if the question is presented accurately. Is sin (x, y) accurate? It's not sin (x + y) or sin (x - y)?

anonymous · Answer

==calculusfunctions. That is, I agree that sin(x,y) is a bit confusing. Could you explain what is meant by that?