Basic Differentiation

Question 1

d/dx c =

Answer 1

0

(Constant rule)

Question 2

d/dx x =

Answer 2

1

Question 3

d/dx ax =

Answer 3

a

Question 4

d/dx x^n =

Answer 4

nx^n-1

Question 5

d/dx √x =

Answer 5

(½) x ^-1/2

Question 6

d/dx e^x =

Answer 6

e^x

Question 7

d/dx a^x =

Answer 7

ln(a) a^x

Question 8

d/dx ln(x) =

Answer 8

1/x

Question 9

d/dx log (x) =
a

Answer 9

1 / (x ln(a))

Question 10

d/dx e^f(x)

Answer 10

e^f(x) * f ’(x)

Question 11

d/dx ln(f(x))

Answer 11

1/f(x) * f ‘(x)