Video: Yuav ua li cas koj nrhiav tau qhov thib ob derivative ntawm ib tug trig muaj nuj nqi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
VIDEO
Tsuas yog li ntawd, dab tsi yog qhov derivatives ntawm 6 trig functions?
Derivatives ntawm Trigonometric Functions. Lub hauv paus trigonometric functions suav nrog 6 lub luag haujlwm hauv qab no: sine ( kev txhaum x), cosine ( cos x), tangent (tanx), cotangent (cotx), secant (secx) thiab cosecant (cscx). Tag nrho cov haujlwm no yog txuas mus ntxiv thiab sib txawv hauv lawv qhov chaw.
Tom qab ntawd, lo lus nug yog, dab tsi yog qhov derivative ntawm 1? Cov Derivative qhia peb txoj kab nqes ntawm txoj haujlwm ntawm txhua qhov chaw. Muaj cov cai uas peb tuaj yeem ua raws mus nrhiav tau ntau derivatives . Piv txwv li: Qhov nqes hav ntawm tus nqi tas li (xws li 3) yog ib txwm 0.
Derivative Cov cai.
| Kev Ua Haujlwm | Muaj nuj nqi | Derivative |
|---|---|---|
| Tsis tu ncua | c | 0 |
| Kab | x | 1 |
| ax | ib | |
| Square | x2 | 2x ib |
Tib neeg kuj nug, dab tsi yog 27th derivative ntawm COSX?
kev txhaum
Cos 2x yog dab tsi?
cos ( 2x ib ) = cos (x + x) = cos (x) cos (x) - sin(x)sin(x) = cos ^ 2 (x ) - sin^ 2 (x ) Muab cov Pythagorean tus kheej: (sin^ 2 (x ) + cos ^ 2 (x ) = 1), cos ^ 2 (x ) = 1 - sin^ 2 (x ) yog li ntawd cos ( 2x ib ) also equals (1 - sin^ 2 (x )) - sin^ 2 (x ) los yog 1-2 sin^ 2 (x )
Pom zoo:
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