The minimum distance from the point (4, 2) to y² = 8x is equal to

What is the minimum value of a²x + b²y where xy = c² ?

For the following three (03) items:
Let $y=f(x)=\frac{x\sin ^{-1}x}{\sqrt{1-x^{2}}}+\ln \sqrt{1-x^{2}}.$

What is the slope of the tangent to the curve y = f(x) at x = 0.5

For the following two (02) items:
Consider the function $f(x)=1-\sqrt[3]{(x-1)^{2}}$

The function has