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Eww, word problems *waits for the problem and prepares sword*

Oh, not a word problem :D okay, np with this one

the derivative of 7x^3 - 10x with respect to t Is 0

dx/dt = 0 so will dy/dt

alright let me try this step by step.

y is in terms of x, there are no t's
so treat x's like a constant
derivative of a constant is 0

okay so the derivative to this would be: 21x^2-10

Correct.

with respect to x, yes
but they ask for it with respect to t (not x)

okay. so do i multiply each by dx/dt?

\[\frac{d(f(x))}{dt}=0\]

question: why would it be zero?

the problem states that dx/dt = 0

each term in dy/dt is multiplied by dx/dt

and dy/dt= d/dt?

no, d/dt is an operator. it says take the derivative of wht follows with respect to t.

dy/dt is the derivative of y with respect to t.

do you know the chain rule for derivatives?

sort of, I need to refresh my memory with the chain rule.