Wavelet analog of: fourier transform of derivative of a function is multiplication with polynomial

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so I have a question concerning the continuous wavelet transform (please forgive me if this is something very simple however i couldn't seem to find any answer so far):

We know that for the Fourier transform $\mathcal{F}$, under appropriate assumptions on a function $f$, it follows that derivation is equal to multiplication in the sense:

$\mathcal{F}(\frac{d}{dx}f) \propto ix\mathcal{F}(f)$ What I was asking myself now is if there exist wavelets for which something similar holds using the continuous wavelet transform.

Any help would be much appreciated.