Unit 6A Review - AP Calculus

 $\ln x$  

 $\ln2$  

 $\frac{1}{x}$  

 $\frac{1}{2}$  

 $\ln x\ -\ \ln2$  

 $\sin\left(\pi^2x^2\right)$  

 $\pi x\sin\left(\pi^2x^2\right)$  

 $\pi x\cos\left(\pi^2x\right)$  

 $\pi\cos\left(\pi^2x^2\right)$  

 $\sqrt{1+\sin^2x}$  

 $-\cos x\sqrt{1+\sin^2x}$  

 $-\sqrt{1+\sin^2x}$  

 $\cos x\sqrt{1+\sin^2x}$  

 $f''\left(10\right)\ -\ f''\left(5\right)$  

 $f'\left(10\right)\ -\ f'\left(5\right)$  

 $f\left(10\right)\ -\ f\left(5\right)$  

 $\frac{1}{5}\left(f'\left(10\right)\ -\ f'\left(5\right)\right)$  

1

2

4

6

F is decreasing on (1,2)

F has a relative minimum at x = 2

F is decreasing on (2, 4)

F has a relative maximum at x = 1.

F has a point of inflection at x = 4.

y=18

y = 2x + 18

y = 2x + 12

y = 2x + 2

-9/10

-2/3

-21/31

-16/19

 $\lim_{n\rightarrow\infty}\sum_{i=1}^n\cos\left(\frac{\pi i}{n}\right)\cdot\frac{\pi}{n}$  

 $\lim_{n\rightarrow\infty}\sum_{i=1}^n\cos\left(\frac{\pi i}{n}\right)\cdot\frac{i}{n}$  

 $\lim_{n\rightarrow\infty}\sum_{i=1}^n\cos\left(\frac{i}{n}\right)\cdot\frac{i}{n}$  

 $\lim_{n\rightarrow\infty}\sum_{i=1}^n\cos\left(\frac{i}{n}\right)\cdot\frac{\pi}{n}$  

-3.749

1.648

7.321

8.250