query: Why is the derivative of sine function is only cosine function?
positive_passages.docid: 25569
positive_passages.text: Intuitive understanding of the derivatives of $\sin x$ and $\cos x$
negative_passages.docid: 885
negative_passages.text: Why is the 2nd derivative written as $\frac{\mathrm d^2y}{\mathrm dx^2}$?
negative_passages.docid: 56032
negative_passages.text: How come $\frac{1}{1-x}$ and $\frac{x}{1-x}$ have the same derivative?
negative_passages.docid: 82399
negative_passages.text: Hyperbolic functions. Why are they named with trig functions?
negative_passages.docid: 107572
negative_passages.text: How does the derivative with respect to the complex conjugate even make sense?
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: 105264
negative_passages.text: Why are partial derivatives of a harmonic function also harmonic?
negative_passages.docid: 88432
negative_passages.text: A problem on range of a trigonometric function: what is the range of $\frac{\sqrt{3}\sin x}{2+\cos x}$?
negative_passages.docid: 101448
negative_passages.text: Is $\sin^2(z) + \cos^2(z)=1$ still true for $z \in \Bbb{C}$?
negative_passages.docid: 99795
negative_passages.text: Derivative of piece-wise function given by $x\sin\frac1x$ at $x=0$
negative_passages.docid: 23238
negative_passages.text: Linear combinations of sine and cosine
negative_passages.docid: 126701
negative_passages.text: How to prove that $d \sin(x)/dx = \cos(x)$ without circular logic such as L'Hôpital's rule?
negative_passages.docid: 77810
negative_passages.text: Solving Trigonometric Derivatives
negative_passages.docid: 95598
negative_passages.text: Derivative of unit step function?
negative_passages.docid: 82027
negative_passages.text: How to derive compositions of trigonometric and inverse trigonometric functions?
negative_passages.docid: 87824
negative_passages.text: How to derive inverse hyperbolic trigonometric functions
negative_passages.docid: 36741
negative_passages.text: Anti-derivative of continuous function $\frac{1}{2+\sin x}$