differentiation of sinwt
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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.
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