Derivative Rules

Question 1

The Constant Rule

Answer 1

d/dx (c)=0

Question 2

The Constant Multiple Rule

Answer 2

d/dx (c(f(x))= c * d/dx (f(x)

Question 3

The Sum Rule

Answer 3

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

Question 4

The Differentiation Rule for e^x

Answer 4

d/dx (e^x)= e^x

Question 5

The Product Rule

Answer 5

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

Question 6

The Quotient Rule g(x) does not = 0

Answer 6

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

Question 7

Chain Rule

Answer 7

d/dx (f(g(x))=f’(g(x))*g’(x) orr d/dx (f(x))^2=n(f(x) ^n-1 * f’(x)