Mean value properties of $f(t)=(\cos t,\sin t)$
124535
continuous function from $[\pi,2\pi]\to \mathbb{R}^2$
48476
Mean value theorem rolle's theorem
25569
Intuitive understanding of the derivatives of $\sin x$ and $\cos x$
84681
Multiple choice exercise on $f(x)= \frac {\sin x}{|x|+ \cos x}$
31919
What can we say about the inner product $\langle f(t),f'(t) \rangle$?
98836
Showing $\int_x^{x+1}f(t)\,dt \xrightarrow{x\to\infty}0$ for $f\in L^2 (\mathbb{R})$
31685
Differentiability of $f(x) = x^2 \sin{\frac{1}{x}}$ and $f'$
52999
Convergence in quadratic mean and in mean
62192
Proof $L{\rm{[}}\frac{{x(t)}}{t}{\rm{] = }}\int_s^\infty {X(u)du} $
151936
Pointwise Convergence and Convergence in the mean of Riemann-integrable functions
12284
Mean Value Theorem Motivation
157432
How to use the Mean Value Theorem to prove the following statement:
105790
What is the Fourier Transform of $f'(x)/x$
55784
Question on Application of Mean Value Theorem
17814
Geometric Mean of a Function
6382
Showing $\frac{x}{1+x}0$ using the mean value theorem
157960
How can I prove the existence of two values in a given domain Mean value theorem?