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i am given the fucntion y(t) =2^t - t^2, i need to one differentiate the function which i think is 2^t In (2) -2t i

i am given the fucntion y(t) =2^t - t^2, i need to one differentiate the function which i think is 2^t In (2) -2t i am then supposed to apply the newton - raphson method and find the y(t) point between t= -1 and t= 0 with an accuracy better than 0.001 to 3 D.P

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