query: Differentiation problem gives $2=1$
positive_passages.docid: 1002
positive_passages.text: Where is the flaw in this "proof" that 1=2? (Derivative of repeated addition)
negative_passages.docid: 135693
negative_passages.text: Suppose f is a twice differentiable function with $f(0)=0$ and $f(1)=1$, $f'(0)=f'(1)=0$. Then show that $|f''(x)| > 4$ for some $x$ in $(0,1)$
negative_passages.docid: 18201
negative_passages.text: Why isn't the derivative of $e^x$ equal to $xe^{(x-1)}$?
negative_passages.docid: 146594
negative_passages.text: Prove that $\frac{d}{dx}(\tan^{-1}(x))=\frac{1}{1+x^2}dx$
negative_passages.docid: 83022
negative_passages.text: Proof of this fairly obscure differentiation trick?
negative_passages.docid: 8711
negative_passages.text: Problems in the relation $a=v\frac{\mathrm{d}v}{\mathrm{d}x}$
negative_passages.docid: 149764
negative_passages.text: If $f$ s twice differentiable and satisfies the following constraints, prove $f'(0)>-\sqrt 2$
negative_passages.docid: 37303
negative_passages.text: Differential of a smooth function
negative_passages.docid: 157211
negative_passages.text: Find the derivative of the inverse of this real function $f(x) = 2x + \cos(x)$
negative_passages.docid: 75387
negative_passages.text: A proof that $1=2$. May I know why it’s false?
negative_passages.docid: 66181
negative_passages.text: Find the derivative of the function
negative_passages.docid: 39451
negative_passages.text: Proving inequation with maximum and 2nd derivative
negative_passages.docid: 105999
negative_passages.text: An application of derivatives problem- to show that $f(x+2)-f(x)>2$ for $f(x)=x\cos(1/x)$
negative_passages.docid: 12726
negative_passages.text: Differentiating both sides of a non-differential equation
negative_passages.docid: 2506
negative_passages.text: twice differentiable functions
negative_passages.docid: 25162
negative_passages.text: Differentiating Definite Integral
negative_passages.docid: 34565
negative_passages.text: How do I differentiate this integral?