Rules

Question 1

Sum/Difference Rule

Answer 1

(d/dx) (f(x)*g(x)) = f’(x)+-g’(x)

Question 2

Constant Rule

Answer 2

(d/dx)(cf(x)) = cf’(x)

(d/dx)(c)=0

Question 3

Product Rule

Answer 3

(d/dx)(f(x)g(x)) = f’(x)g(x) + g’(x) * f(x)

Question 4

Quotient Rule

Answer 4

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

Question 5

Composition of Functions

Answer 5

f(g(x)) outside in

Question 6

Chain Rule

Answer 6

(d/dx)(f(g(x)))=f’(g(x))*g’(x)