Derivatives quiz

Question 1

D/dx (x^n)

Answer 1

nx^(n-1)

Question 2

d/dx (Cf(x))

Answer 2

C*f’(x)

Question 3

d/dx (f(x)+g(x))

Answer 3

f’(x)+g’(x)

Question 4

d/dx e^x

Answer 4

e^x

Question 5

d/dx (f’(x))

Answer 5

f”(x)

Question 6

d/dx f^(n) *(x)

Answer 6

d/dx (f^(n-1)*(x))

Question 7

d/dx (f(x)*g(x))

Answer 7

f’(x)g(x)+g’(x)f(x)

Question 8

d/dx (f(x))/(g(x))

Answer 8

(g(x)f’(x) - g’(x) f(x))/(g(x))^2

Question 9

d/dx (e^(kx))

Answer 9

ke^(kx)

Question 10

d/dx (sinx)

Answer 10

cosx

Question 11

d/dx (tanx)

Answer 11

sec^(2)x

Question 12

d/dx (secx)

Answer 12

secx tanx

Question 13

d/dx (cosx)

Answer 13

-sinx

Question 14

d/dx (cotx)

Answer 14

-csc^(2)x

Question 15

d/dx (cscx)

Answer 15

-cscx cotx

Question 16

d/dx (f(g(x))

Answer 16

f’(g(x))* g’(x)

Question 17

d/dx ((g(x))^n)

Answer 17

n(g(x))^(n-1)* g’(x)

Question 18

Dx (lnx)

Answer 18

1/x

Question 19

Dx (ln|x|)

Answer 19

1/x

Question 20

d/dx (b^x)

Answer 20

b^x lnb

Question 21

d/dx (sin^-1 x)

Answer 21

. _______
1/√(1-x^2)

Question 22

d/dx (tan^-1 x)

Answer 22

1/(1+x^2)

Question 23

d/dx (sec^-1 x)

Answer 23

. ______
1/ (|x|√(x^2-1) )

Question 24

d/dx (cos^-1 x)

Answer 24

. _______
-1/√(1-x^2)

Question 25

d/dx (cot^-1 x)

Answer 25

-1/(1+x^2)

Question 26

d/dx (csc^-1 x)

Answer 26

. ______
-1/(|x|√(x^2-1) )