
calculus - Can you propose any hack for remembering the …
May 22, 2021 · Here is a trick I use to remember the derivatives and antiderivatives of trigonometric functions. If you know that \begin {align} \sin' (x) &= \cos (x) \\ \sec' (x ...
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 …
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 …
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 …
calculus - Finding derivatives of Trigonometric Functions
Feb 12, 2013 · Finding derivatives of Trigonometric Functions Ask Question Asked 12 years, 10 months ago Modified 12 years, 9 months ago
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 …
calculus - The chain rule and squared trig functions - Mathematics ...
Feb 15, 2012 · Perhaps it is one of the derivatives that you just remember: the answer is $-\csc^2 x$. Or if you don't remember this derivative, use the fact that $$\cot x=\frac {\cos x} {\sin x}$$ …
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 …
Why is the chain rule applied to derivatives of trigonometric …
May 28, 2015 · Why is the chain rule applied to derivatives of trigonometric functions? Ask Question Asked 10 years, 6 months ago Modified 4 years, 8 months ago
Why do we require radians in calculus? - Mathematics Stack …
Mar 22, 2014 · I think this is just something I've grown used to but can't remember any proof. When differentiating and integrating with trigonometric functions, we require angles to be taken …