Differentiate each of the following functions. do not simplify. y(x) = cos2x-sinx^2 and s(t) = t+1/t-1 + te^2t
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daniel
ANSWERS: 1
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First one: y = cos(2x)-sin(x^2) Thus: dy/dx = -sin(2x)*2 + cos(x^2)*2x Rearrange everything: dy/dx = 2xcos(x^2)-2sin(2x) Second one: s = (t+1)/(t-1) + t*e(2t) Thus: ds/dt = ((t-1)t - (t+1)t)/(t-1)^2 + t(e^(2t)*2) + e^(2t) Maybe. I can't do math on the computer. I need room to scratch around. Someone want to verify this?
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