Math, asked by srivastava65, 1 year ago

differentiation of sinwt​

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Answered by suchitgiri276
42
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Answered by Afreenakbar
1

The derivative of sin(wt) with respect to t is w*cos(wt)

step-by-step solution:

y = sin(wt)

Take the derivative of y with respect to t using the chain rule: dy/dt = (dy/d(wt)) * (d(wt)/dt)

The derivative of sin(x) with respect to x is cos(x), so dy/d(wt) = cos(wt)

d(wt)/dt = w (since w is a constant)

Substituting these values back into the original equation, we have: dy/dt = (cos(wt))*w

Therefore, the derivative of sin(wt) with respect to t is w*cos(wt)

  • In calculus, the derivative is a way to measure the rate of change of a function at a certain point. It is represented by the symbol d/dx or ∂/∂x, where x is the variable with respect to which the derivative is taken.
  • The process of finding the derivative is called differentiation.

To know more about  derivative visit : brainly.in/question/54175915

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