How did I get tangent function


the derivitave is a version of a tangent function.how :nerd_face: :face_with_raised_eyebrow:
people who might know: @NTMDev @Guzman_Tierno

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The main reason is that the function: g(x) = sqrt( 10 - x^2 )
is a circle, so its derivative is very similar to tan x:

https://www.desmos.com/calculator/ntg5jmjyde

Your function f(x) is just a deformed circle.

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yeah I know that was what I was originally trying to do,but the formula of f(x)'s derivative will almost always lead to a transformation of tan (x)

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The tangent function, tan(x) is directly related to circles. The first derivative of a function gives the slope of the tangent line at that point, so it makes sense that the first derivative for a circle would give the tangent function.

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Can we not do the same for cos and sin? Also I have not learned yet derivatives and alegrba 2, so i need a bit more explaining

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derivative is more calc 1

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oh so you learned calc 1 as a 7th grader? my my

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yeah that and stat on Khan academy

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nice good for you !//

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lol i taught myself mostly from yt tutorials