1.26: Differentiating a product with an exponential and a square root

0606/12/M/J/16 — Question 6 · 5 marks

Show that ddx(e3x4x+1)\dfrac{\mathrm{d}}{\mathrm{d}x}(\mathrm{e}^{3x}\sqrt{4x + 1}) can be written in the form e3x(px+q)4x+1\dfrac{\mathrm{e}^{3x}(px + q)}{\sqrt{4x + 1}}, where pp and qq are integers to be found.
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