Prove that the sum of derivatives of a non-negative function is non-negative
1519
Sum of derivatives of a polynomial
143491
Show that $f$ is differentiable on $(−1, 1)$.
53767
How to prove that derivatives have the Intermediate Value Property
57193
Prove that $f$ has derivatives of all orders at $x=0$, and that $f^{(n)}(0)=0$ for $n=1,2,3\ldots$
83517
Taylor series of Infinitely differentiable function with nonnegative derivatives
4498
Proof that $\|fx\| \leq \|f\|\cdot\|x\|$
36093
Show rigorously that the sum of integrals of $f$ and of its inverse is $bf(b)-af(a)$
133076
Prove this sum equal to an expression.
115712
Application of Derivatives rigorous proof
123757
Proving a summation inequality with induction
20309
Product and sum of positive operators is positive
48314
Show that if a function is not negative and its integral is $0$ than the function is $0$
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
99676
Prove $\sum{\frac{1}{(x+2y)^2}} \geq\frac{1}{xy+yz+zx}$
20280
Proving that expression is equivalent to the definition of derivative
43956
Differentiating $f(x)^{g(x)}$
111458
Prove that $f$ is differentiable