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The curve has equation $y = \frac{1}{2}e^{2x} - 5e^x + 4x$. Determine the exact $x$-coordinate of every stationary point on the curve, and identify the nature of each stationary point.
Mathematics 9709 · AS & A Level · Differentiation
Mathematics 9709 · AS & A Level · Differentiation
The curve has equation $y = \frac{1}{2}e^{2x} - 5e^x + 4x$. Determine the exact $x$-coordinate of every stationary point on the curve, and identify the nature of each stationary point.