Let the function \(f(x)=2 x^2-\log _{\mathrm{e}} x, x>0\), be decreasing in \((0, a)\) and in.... VIDEO
Let the function \(f(x)=2 x^2-\log _{\mathrm{e}} x, x>0\), be decreasing in \((0, a)\) and increasing in \((a, 4)\). A tangent to the parabola \(y^2=4 a x\) at a point \(P\) on it passes through the point \((8 a, 8 a-1)\) but does not pass through the point \(\left(-\frac{1}{a}, 0\right)\). If the equation of the normal at \(P\) is \(\frac{x}{\alpha}+\frac{\gamma}{\beta}=1\), then \(\alpha+\beta\) is equal to π²PW App Link - https://bit.ly/YTAI_PWAP πPW Website - https://www.pw.live
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