$f'(0)$ when $f(x)=x^2\sin(1/x)$
86860
Continuity of differentiable function $x^2\sin(1/x)$
96191
Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$
74810
A function $f$ such that $f' = 0$ when $x < 0$ and $f' = 1$ when $x \geq 0$?
107795
If $\,f''(x) \ge f(x)$, for all $x\in[0,\infty),$ and $\,f(0)=f'(0)=1$, then is $\,f(x)>0$?
121848
If $f(x)=\begin {cases} x^a\sin (1/x) & x\not =0 \\ 0 & x =0 \end {cases}$ is continuous but not differentiable at $x=0$ find $a$
76580
If $f(\frac{1}{n})=0$ all $ n\to \mathbb{Z^{+}}$ then find $ f'(0)$?
157504
What type of differential equation is $f'(x) = f(x/2)$ and how do you solve it?
51837
Show that $\int_{0}^{\pi} xf(\sin(x))\text{d}x = \frac{\pi}{2}\int_{0}^{\pi}f(\sin(x))\text{d}x$
23288
Prove that $x^2<\sin x \tan x$ as $x \to 0$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
101778
Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
158279
$\int_0^{\pi/2}\ln(\sin(x))$?
85531
Calculate $\lim_{x\to 0}\frac{1}{x^{\sin(x)}}$
154742
If $f(z)$ analytic in the domain $D$ and $f'(z)=0$ so $f(z)=$constant?
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
76311
$f'' + f =0$: finding $f$ using power series
85739
Show that $f(x) = 0$ for all $x \in [a,b]$ given $|f'(x)| \leq C|f(x)| $