consider the identity verify the identity for the values x=
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By applying the IVT, what do we need to do to show that has a solution on the interval ?
Sketch the curve having two local maxima and local minima in the interval for an even function. One of the maxima occurs at . Maximum value is , local minima occurs at , and minimum is . Also, there exists a global maxima at .
Find the equation for the tangent line to at .