The 3 differentiation rules (Omega exclusive + ADDITIONAL RULES)

Question 1

State the chain rule?

Answer 1

dy/dx = dy/du x du/du
&
dy/dx = dy/dx x du/du

ehhhh, i’d stick with the book icl. U better off doing practice questions anyway

Question 2

State the product rule?

Answer 2

dy/dx = f’g + g’f

Question 3

State the quotient rule?

Answer 3

dy/x = (f’g - g’f)/g²

Question 4

What do u get for differentiating sin x?

Answer 4

dy/dx = cos x

Question 5

What do u get for differentiating cos x?

Answer 5

dy/dx = -sin x

Question 6

What do u get for differentiating tan x?

Answer 6

dy/dx = sec² x

Question 7

What do u get for differentiating e^kx?

Answer 7

dy/dx = ke^kx

Question 8

What do u get for differentiating ln x?

Answer 8

dy/dx = 1/x

Question 9

Just state all the logarithm rules man
(Don’t try guess, press reveal)

Answer 9

x = e^y -> y = ln x
e^ln = b ≈ lne^c = c

1) ln a + ln b = ln ab
2) ln a - ln b = ln (a/b)
3) nln(a) = ln(a)ⁿ

Finally, ln (1) = 0