Unit 3

Question 1

(f^-1)(b)=

Answer 1

1/(f’(f^-1(b))

Question 2

[loga(f(x)]=

Answer 2

1/((lna)f(x))*f’(x)

Question 3

(ln(f(x))=

Answer 3

1/(f(x))*f’(x)

Question 4

sin^-1(x)=

Answer 4

1/sqrt. (1-x^2)

Question 5

cos^-1(x)=

Answer 5

-1/sqrt. (1-x^2)

Question 6

tan^-1(x)=

Answer 6

1/(1+x^2)

Question 7

cot^-1(x)=

Answer 7

-1/(1+x^2)

Question 8

sec^-1(x)=

Answer 8

1/x(sqrt. (1-x^2))

Question 9

csc^-1(x)=

Answer 9

-1/x(sqrt. (1-x^2))