Is f'(x) = -2sinx + 2cos2x the derivative of f(x) = 2cosx + sin2x ? I have no way to check if I am correct.
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Originally Posted by jmhogart Is f'(x) = -2sinx + 2cos2x the derivative of f(x) = 2cosx + sin2x ? I have no way to check if I am correct. Looks right to me
Ok thank you... now how might I go about setting the derivative equal to 0 and solving in order to find critical numbers?
Originally Posted by jmhogart Is f'(x) = -2sinx + 2cos2x the derivative of f(x) = 2cosx + sin2x ? I have no way to check if I am correct. Originally Posted by jmhogart Ok thank you... now how might I go about setting the derivative equal to 0 and solving in order to find critical numbers? f'(x)= 2cos(2x) - 2sin(x) = 0 We know that 2 will cancel and . Substitute and move sin(x) back to the other side. Let u = sin(x) and solve the quadratic for u then do arcsin(u).
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