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CBSE Class 12-science Answered

Differentiate if A, ω and k are constant. I don't understand this question , how -k is coming on differentiation of (ωt-kx), so please elaborate this step in detail so that I can understand 😔🙏
question image
Asked by mk610112 | 29 Mar, 2024, 08:21: PM
answered-by-expert Expert Answer

if a function is function of function , i.e. function is f(u) and u = g(x) , then

img

given function is

y = A sin (k x - ω t ) ;

y = A sin(u)

where u = (k x - ω t )

dy/dt = (dy/du) (du/dt)

dy/dt = A cos(k x - ω t ) (-ω )

dy/dt = - A ω cos(k x - ω t )

 

Answered by Thiyagarajan K | 30 Mar, 2024, 06:52: AM

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