query: Show $f$ is differentiable at the endpoint with $a$ with $f'(a)=c$
positive_passages.docid: 1371
positive_passages.text: Prove that $f'(a)=\lim_{x\rightarrow a}f'(x)$.
negative_passages.docid: 124346
negative_passages.text: Where is $f(z)=\Re (z)$ differentiable?
negative_passages.docid: 49408
negative_passages.text: Proof of the derivative of ln(x)
negative_passages.docid: 85623
negative_passages.text: Proof of continuity implied by differentiability
negative_passages.docid: 43956
negative_passages.text: Differentiating $f(x)^{g(x)}$
negative_passages.docid: 21178
negative_passages.text: Show that $f$ extends to a smooth map.
negative_passages.docid: 103241
negative_passages.text: A function that is continuous at the origin but not differentiable there
negative_passages.docid: 77624
negative_passages.text: Characterization of sets of differentiability
negative_passages.docid: 13612
negative_passages.text: Show the existence of a complex differentiable function defined outside $|z|=4$ with derivative $\frac{z}{(z-1)(z-2)(z-3)}$
negative_passages.docid: 117906
negative_passages.text: Show that $\liminf\limits_{x\to \infty}|f'(x)|=0$ if $\lim\limits_{x\to \infty}f(x)/x=0$ and $f$ is differentiable
negative_passages.docid: 43874
negative_passages.text: Differentiability implies continuity - A question about the proof
negative_passages.docid: 30855
negative_passages.text: Finding all differentiable $f(z) = u(x) + iv(y)$ in $\mathbb{C}$ where $u(x),v(y)$ are real valued functions.
negative_passages.docid: 597
negative_passages.text: f is differentiable on convex domain D and Re(f')>0 implies f is injective on D
negative_passages.docid: 65889
negative_passages.text: Showing $\Phi(x)=\int_0^x (x-t)f(t)\,dt$ is twice differentiable and finding $\Phi''(x)$
negative_passages.docid: 138864
negative_passages.text: If $f\colon \mathbb{R} \to \mathbb{R}$ is such that $f(x+y)=f(x)f(y)$ and $f'(0)$ exists, then $f$ is differentiable on $\mathbb R$
negative_passages.docid: 154881
negative_passages.text: Question on differentiability of a continuous function
negative_passages.docid: 112923
negative_passages.text: Let $f:\mathbb{R}\longrightarrow \mathbb{R}$ a differentiable function such that $f'(x)=0$ for all $x\in\mathbb{Q}$