Calculus
# Extrema

What is the positive number $x$ that maximizes $9 \cdot {x}^{\frac{1}{x}}+10?$

For what value of $x$ is the function $f(x) = 7 x^2 - 84 x + 19$ minimized?

What is the absolute value of the minimum value of the function $f(x)=x^4-24 x^2 + 64 x + 16$?

What is the extreme value of $f(x) = |x-1| + 22$?

For what value of $x$ is the function $f(x) = x^4 - 36 x^3 + 20$ minimized?