1/11 - Intro to Calculus - Check in

Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _____________ at x.

• an inflection point
• a critical point
• a minimum
• a maximum

Find the critical points:

 $s\left(\theta\right)=5-\cos\theta$  
on the interval  $0\le x<2\pi$  

•  $x=0,\pi$  

•  $x=\pi,2\pi$  

•  $x=\frac{\pi}{2},\frac{3\pi}{2}$  

•  $x=\frac{\pi}{4},\frac{3\pi}{4}$  

What is the lowest point on a function called?

• relative maximum

• relative minimum

• absolute maximum

• absolute minimum

Tags

CCSS.HSF.IF.C.7

If the first derivative of a function switches from negative to positive, what occurs at the critical point between?

• absolute maximum

• absolute minimum

• relative maximum

• relative minimum

Find dy/dx by Implicit Differentiation 
8x² + 16y² = 144

• x /2y
• x² / y
• −x /2y
• x² / y²