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 remember the derivatives of inverse trig function with the assisting of some basic triangles?

Jul 17, 2020 · I know how to use geometry to find the derivatives of sin x sin x and cos x cos x like this: We can use the fact that we know the tangent of the circle to show that d dxcos(x) = sin(x) d d x cos (x) = sin (x). Wondering if you can do the same with the inverse functions.

Jan 10, 2019 · I'm a bit confused about how the inverse trig functions are differentiated. From a website: We have the following relationship between the inverse sine function and the sine function. $$\\sin \\

The general way is to know the derivatives of the inverse trigonometric functions, and then apply the Chain Rule. You could try to derive the derivative of, say f(x) = arcsec(x7) by finding the derivative of sec(f(x)), applying the Chain Rule, and then solving for f (x), but in the long run it is probably going to be less work to remember the derivatives of the inverse trig functions than to ...

May 22, 2021 · Here is a trick I use to remember the derivatives and antiderivatives of trigonometric functions. If you know that

Jun 4, 2021 · What is a purely geometric proof of the derivatives of the inverse hyperbolic trig functions? I saw this post by John Hilbert here. and a answer from Blue here.

Nov 10, 2017 · The proofs of the derivatives of the trig functions typically use the identity

Mar 8, 2021 · The derivatives of the inverse trig functions in almost all the textbooks or online documents are not presented in format A, but format B. Are there reasons for why we do this or is it just out...

Jan 26, 2021 · Which makes sense since the derivatives of related inverse trigonometric functions differ just in the sign. Nonetheless, this clashes with my notion that there must be only one result for any given argument of a function. Moreover, when I looked it up on the Internet I noticed that most websites just show the positive indefinite integrals. My question is whether the indefinite …

Dec 2, 2024 · Note: there are no inverse trig functions in the diagram. The reciprocal of a trig function could be called a reciprocal, but don't call it an "inverse trig function" since that means something else.