Use your calculator to find the gradient of the curve \(y=2^{\cos x}\) at the points where \(x=0\) and \(x=\frac12\pi\).[2]
Find the equations of the tangents to this curve at the points where \(x=0\) and \(x=\frac12\pi\) and find the coordinates of the point where these tangents meet.[3]
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Answer:(i) \(0,-0.693\) (ii) \(y=2\), \(y-1=-\ln2(x-\pi/2)\); \((0.128,2)\).