Day 2 Relative Minimum& Maximum by 2nd Derivative TRIG FUNCTIONS

Given  $f\left(x\right)=4\cos x-2\sqrt[]{2}x$  in [0, 2pi]

Use the 2nd Derivative Test to find and classify the relative extrema.

Select ALL the correct answers.

• Relative maximum at  $x=\frac{5\pi}{4}$ 

• Relative minimum at  $x=\frac{5\pi}{4}$ 

• Relative maximum at  $x=\frac{3\pi}{4}$ 

• Relative minimum at  $x=\frac{\pi}{4}$ 

• Relative maximum at  $x=\frac{7\pi}{4}$ 

Given  $f\left(x\right)=7\sin x+5$  in [0, 2pi]

Use the 2nd Derivative Test to find and classify the relative extrema.

Select ALL the correct answers.

• Relative minimum at  $x=\frac{\pi}{2}$ 

• Relative minimum at  $x=\frac{3\pi}{2}$ 

• Relative maximum at  $x=\frac{3\pi}{2}$ 

• Relative maximum at  $x=\frac{\pi}{2}$ 

• Relative maximum at  $x=\pi$ 

• Inflection at x=0 

• Relative minimum at x=0 

• Inflection at x=0