query: Proof by derivative that 2=1
positive_passages.docid: 23319
positive_passages.text: How to disprove this fallacy that derivatives of $x^2$ and $x+x+x+\dots\quad(x\text{ times})$ are not same.
negative_passages.docid: 120600
negative_passages.text: Real analysis derivate problem. How can I prove this?
negative_passages.docid: 95379
negative_passages.text: Prove that $V = V_1 \oplus V_2$ in the following
negative_passages.docid: 107765
negative_passages.text: Prove that there exists two roots in $[-1,1]$
negative_passages.docid: 45811
negative_passages.text: How to prove that r is a double root if and only if it is a root of a polynomial and of its derivative.
negative_passages.docid: 139453
negative_passages.text: Prove that $\frac{1}{f'(a)} = \frac{1}{2\pi i} \int_C \frac{1}{f(z)-f(a)} dz$
negative_passages.docid: 63410
negative_passages.text: Proof on showing if F(x,y,z)=0 then product of partial derivatives (evaluated at an assigned coordinate) is -1
negative_passages.docid: 27884
negative_passages.text: How to show via induction the product rule for derivatives?
negative_passages.docid: 38192
negative_passages.text: Derivative of inverse function at a point.
negative_passages.docid: 60321
negative_passages.text: Use the definition of derivative to prove $\lim_{x\to 0}\ln(x+1)/x =1$
negative_passages.docid: 4735
negative_passages.text: Proof for alternative definition of the derivative
negative_passages.docid: 44880
negative_passages.text: Prove that the derivative of an even differentiable function is odd, and the derivative of an odd is even.
negative_passages.docid: 145875
negative_passages.text: Inverse of a bijection f is equal to its derivative
negative_passages.docid: 1057
negative_passages.text: How prove this integral limit $=f(\frac{1}{2})$
negative_passages.docid: 44233
negative_passages.text: How to prove this inequality $ x + \frac{1}{x} \geq 2 $
negative_passages.docid: 110103
negative_passages.text: Prove that there are $0<c_1 < c_2<1$ s.t. $\frac{1}{g'(c_1)}+\frac{1}{g'(c_2)}=2$ . The same for $g'(c_1)g'(c_2)=1$.
negative_passages.docid: 127390
negative_passages.text: Second derivative of a composite function