MATH 1225 Lecture Notes - Lecture 6: Product Rule, Quotient Rule
28 May 2018
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Sec. 3.2 The Product and Quotient Rules
• The Product Rule: If
f
and
g
are both differentiable, then
xg
dx
d
xfxf
dx
d
xgxgxf
dx
d
That is,
gffggf
•
•
•
“The derivative of a product of two functions is the second function times the derivative of the first function
plus the first function times the derivative of the second function.”
EX: Differentiate
x
ex
x
xf 2
1
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Document Summary
3. 2 the product and quotient rules: the product rule: if f and g are both differentiable, then d dx xgxf xg d dx xf xf. The derivative of a product of two functions is the second function times the derivative of the first function plus the first function times the derivative of the second function. g f f. Xe xf xg d dx xg d dx xf xf. 2xg d dx xg: the quotient rule: if f and g are both differentiable, then. The derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. 1 fc fc f f g g f g g f f g g g f f f g gf fg. Ex: find f and f of.
