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The curve of y=f(x) has a gradient function given by
and passes through the point (0,1).
By solving the differential equation, find f(x).
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The graph of y=f(x) has a stationary point at Q.
Find the coordinates of Q, giving your answer in the form (±lnp,lnq), where p,q∈Z.
Determine whether Q is a local maximum, local minimum, or neither.
Show that the curve of y=f(x) has no point of inflexion.
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