M. next
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but i need the derivative wrt time where theta depends on time
The derivative of sin²(θ) with respect to time, where θ is a function of time, is calculated using the chain rule. The formula is given by d/dt(sin²(θ)) = d/dθ(sin²(θ)) * dθ/dt. This results in the expression 2sin(θ)cos(θ) * (dθ/dt), confirming that the derivative is 2sin(θ)cos(θ) multiplied by the rate of change of θ with respect to time.
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M. next said:but i need the derivative wrt time where theta depends on time