Proving existence of a root in second derivative
2717
Help proving existence of an specific $x_0$ for which $f''(x_0)=0$
102279
Derivative of Quadratic Form
53767
How to prove that derivatives have the Intermediate Value Property
49408
Proof of the derivative of ln(x)
73454
Prove that $f$ has finite number of roots
84597
Derivative of $(1-x)^{-2}$
39170
Existence of square root
39451
Proving inequation with maximum and 2nd derivative
13202
Prove that there exists at least one $x_0\in\mathbb{R}$, such that $f(x_0)+f''(x_0)=0$
127390
Second derivative of a composite function
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
101570
If derivative of function is less than or equal to 4, prove the existence of point $c$ so $f(c)=c^2$.
66639
Second Derivative
30723
Second derivative "formula derivation"
15262
Prove $\exists \xi, \eta \in (0,1)$, such that $f(\xi)+f'(\eta)=\xi+\eta$.
117338
Counterexample to second derivative test when f''(x) is not continuously differentiable
27884
How to show via induction the product rule for derivatives?