
calculus - Can you propose any hack for remembering the common ...
May 22, 2021 · then the derivatives of cos cos, cot cot, and csc csc can be memorised with not much more effort. These functions have the prefix co- in them for a reason: cosine is the sine of the co …
algebra precalculus - How to remember the derivatives of inverse ...
Mar 6, 2021 · I remember the derivatives of trig functions by naming 3x basic right triangles in a specific way and using ONE simple multiplication. Just wondering if there are similar approaches to …
calculus - The chain rule and squared trig functions - Mathematics ...
I could be incorrect but a trig function squared would be the result of the trig function with the angle value and then squared. Not the angle value squared, that would give a different answer. Knowing …
Geometric intuition for derivatives of basic trig functions
May 26, 2015 · I was inspired by this question to try and come up with geometric proofs for the derivatives of basic trig functions--basically, those that have simple representations on the unit circle …
Why does the derivative of sine only work for radians?
Jun 26, 2015 · And, as it so happens, they are exactly the sine and cosine functions defined in radians. Just like we choose the value of e e so that d dxex =ex d d x e x = e x, choosing to work in radians …
calculus - Finding derivatives of Trigonometric Functions - Mathematics ...
Finding derivatives of Trigonometric Functions Ask Question Asked 12 years, 11 months ago Modified 12 years, 11 months ago
calculus - Why are the derivatives of trigonometric functions again ...
Oct 7, 2020 · Since all the trig functions have formulas in terms of the sine function, the product rule and the chain rule guarantee that if the derivative of the sine function stays in Trig World (my favorite …
Why are the derivatives of complementary angles negative?
Apr 24, 2023 · I’m taking Calculus in highschool and my teacher told us a special trick she learnt was that the derivatives of all the trigonometric functions starting with “c” (such as cosine, cotangent, …
Purely geometric proof of inverse trigonometric functions derivatives
Jul 17, 2020 · Can you compute the derivatives of sin−1(x),cos−1(x), sin 1 (x), cos 1 (x), and tan−1(x) tan 1 (x) using only geometry? I know how to use geometry to find the derivatives of sin x sin x and …
Derivatives of hyperbolic functions and Osborne's rule.
Apr 12, 2015 · It seems to be that when you go from trig to hyperbolic and consider the derivatives, the derivatives always use the same function (although in hyperbolic terms rather than trig terms). But …