###### Waste less time on Facebook — follow Brilliant.
×
Back to all chapters

# Extrema

How can you maximize your happiness under a budget? When does a function reach its minimum value? When does a curve change direction? The calculus of extrema explains these "extreme" situations.

# Global 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?

×

Problem Loading...

Note Loading...

Set Loading...