Math test

Question 1

Derivative of e^u

Answer 1

e^u * du/dx

Question 2

Derivative of a^u

Answer 2

a^u * ln(a) * du/dx

Question 3

Derivative of ln(u)

Answer 3

1/u * du/dx

Question 4

Derivative of loga(u)

Answer 4

(1/u * lna) * du/dx

Question 5

What to do when variable raised to variable

Answer 5

1) Take lnx of both sides. 2) Use properties of logs. 3) Differentiate implicity. 4) Substitute for y.

Question 5

derivative of inverse sine (u)

Answer 5

(1 / square root (1-u^2))
* du/dx

Question 6

derivative of inverse tan (u)

Answer 6

(1/1+ u^2) * du/dx

Question 7

Inverse derivatives

Answer 7

the derivative of g(a) is equal to (1/ derivative of f(b))

Question 8

Derivative of tanx

Answer 8

sec^2 (x)

Question 9

Derivative of secx

Answer 9

secxtanx