Derivative Formulas: List to Memorize

Question 1

d/dx [c·f(x)]=

Answer 1

c · d/dx [f(x)]

Question 2

d/dx [f(x) + g(x)]=

Answer 2

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

Question 3

d/dx [f(x)·g(x)]=

Answer 3

f(x) · d/dx [g(x)] + d/dx [f(x)] · g(x)

Question 4

d/dx [f(x)/g(x)]=

Answer 4

(g(x) · d/dx[f(x)] - f(x) · d/dx [g(x)])/[g(x)^2]

Question 5

Chain Rule

Answer 5

dy/dx = dy/du · du/dx

Question 6

Implicit Differentation

Answer 6

dy/dx