fi t lie function 1(x) ...adawaye aannaaaa 0) Show that f has a stationary point at 3* Does 1 have any other stati points' onary For what values of x is cum:ex? And whs is it (bt)n('ave (iii) Find the...

1.
(a) Given the function is
( )


(i) A stationary point of a function is the point where its slope is 0(i.e. where the
derivative is zero.)
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The derivative is zero at x=0.
Hence the function has a stationary point at x=0.
(ii) A twice differentiable function of one variable is convex on an interval if and only if
its second derivative is non-negative there and concave otherwise.
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The second derivative is negative for (

√
√
) hence the function is concave in
this interval.
The...