3.2 The Product and Quotient Rules

Question 1

what if the formula of the product rule?

Answer 1

f’(x)=u’v+uv’

Question 2

how to find the nth derivative

Answer 2

1. keep finding deravative until you see something changing
2. rewrite the derivative function with the changing something represented with the value n

Question 3

when to use the product rule

Answer 3

when you see two things being multiplied to each other

Question 4

what is the formula to find the quotient rule

Answer 4

f’(x)=u’v-uv’/v^2

Question 5

how to solve f(x)=square root x times g(x) where g(4)=2, g’(4)=3, find f’(4).

Answer 5

1. rewrite the function given using the product rule format
2. plug in 4 into the derivative
3. use what’s given and substitute the number accordingly
4. solve with the numbers

Question 6

what does it mean if the slope if 0 and a point?

Answer 6

there is a maximum or minimum at that point and the tangent is horizontal and equals the y values in the point