(4-7) We can use the chain rule in the same way as we normally do, when finding a partial derivative, so: Recall that our expression for a wave moving to the right is: y = f(x – vt)
① setting q = x – vt, we get y = f(q) and hence:
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(notice that since in the expression y = f(q), q is the only variable on which y depends, the derivative dy/dq is not a partial derivative, so we uncurl the ‘d’s).
Likewise:
② Comparing the expressions for the two partial derivatives, we can see that:
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