The function is defined for

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The function m(x)=x5/2−2x3/2m(x)=x^{5/2}-2x^{3/2} is defined for x≥0x\ge 0. For which value(s) of xx does the graph of mm have a horizontal tangent line? (a) {6/5}\{6/5\} (b) {0,  6/5}\{0,\;6/5\} (c) {0,  3/5}\{0,\;3/5\} (d) {0,  2}\{0,\;2\}

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