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Prove that is an increasing function in .

Mathematics20262 marksDerivation
Prove that $y = -(8x^2 + 4x + 5)$ is an increasing function in $\left(-\infty, -\frac{1}{4}\right]$.

Given: $y = -(8x^2 + 4x + 5)$

To show: $y$ is an increasing function in $\left(-\infty, -\frac{1}{4}\right]$.

Answer

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Applications of Derivatives

From ISC 2026 Improvement Mathematics Paper 1, question 5.