# What is the derivative of #f(t) = (t^2-sint , t-1 ) #?

The chain rule is:

Compute the required derivatives:

Divide the derivatives as specified:

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To find the derivative of ( f(t) = (t^2 - \sin(t), t - 1) ), you differentiate each component of the function separately with respect to ( t ).

So, the derivative of ( f(t) ) with respect to ( t ) is:

[ f'(t) = \left( \frac{d}{dt}(t^2 - \sin(t)), \frac{d}{dt}(t - 1) \right) ]

[ f'(t) = (2t - \cos(t), 1) ]

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