$f(x)= \Sigma_{n=1}^{\infty} \frac {\sin nx^2}{1+n^3}$, $x\in {\mathbb{R}}$
I can show continuity by using uniform convergence and the Weierstrass M test. But I don't know how to do differentiability. Any help would be highly appreciated. Thank you.
2026-02-22 20:12:01.1771791121
Prove that the given series of functions is continuously differentiable.
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