Prove that the given series of functions is continuously differentiable.
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$\sum_{n=1}^{\infty}\frac{\sin (nx^2)}{1+n^3}$ represents a differentiable function
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show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
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Prove that $f(x,y)=xy$ is differentiable using the definition
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Proving a function is Lipschitz continuous
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proof that $f'$ is continuous at $a$
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Let $f$ be continuous on $ [a,b]$, differentiable on $ (a,b) $ and $ f(x) \neq 0 \forall x \in (a,b) $ Prove $ \exists c \in (a,b) $ such that
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If $f'$ is differentiable at $a$ then $f'$ is continuous at $(a-\delta,a+\delta)$
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Application of Derivatives rigorous proof
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property of continuous function
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Differentiability of antiderivative and continuity of derivative
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Locally continuously differentiable implies locally Lipschitz
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Differentiable Sequences
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Showing that this function is infinitely differentiable
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Cardinality of the set of differentiable functions
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Continuously differentiable function iff $|f(x + h) - f(x + t) - l(h - t)| \leq \epsilon |h-t|$
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$f: \mathbb{R}^2-\{0\} \rightarrow \mathbb{R}$ is continuously differentiable and $f(\alpha x) = \alpha^2f(x)$, then $x \cdot \nabla f(x) = 2 f(x)$
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Continuous differentiability implies Lipschitz continuity