Final Stuff AB

Question 0

d/dx sin/cos ^-1(x)

Answer 0

+or-1/rad(1-x^2)

Question 1

(d/dx) Log base a of x=?

Answer 1

1/((x)(lna))

Question 2

d/dx tan/cot^-1(x)

Answer 2

+or-1/(1+x^2)

Question 3

d/dx sec/csc^-1(x)

Answer 3

+or-1/(|x|rad(x^2-1))

Question 4

d/dx a^x

Answer 4

(lna)a^x

Question 5

How do you find f^(-1)’(x)

Answer 5

1/(f’(f^-1(x)))

Question 6

Estimate rad(16.5)

Answer 6

x=16, f(x)=rad(x), dx=.5
f(16)=4
dy=f'(x)dx
dy=1/(2rad(16)) • .5
dy=1/16
(new y)=(old y)+dy
           =4+(1/16)

Question 7

N
€C=
I=1

Answer 7

C•n

Question 8

n
€i=
i=1

Answer 8

(n(n+1))/2

Question 9

n
€i^2=
i=1

Answer 9

(n(n+1)(2n+1))/6

Question 10

n
€i^3=
i=1

Answer 10

(n^2(n+1)^2)/4