Fined derivative for the following function by use Rule 5 & Rule 6:- ( Differentiation Rules) (x – 1)(x² – 2x) y =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Fined derivative for the following function by use
Rule 5 & Rule 6:- ( Differentiation Rules)
(x – 1)(x²
y
2x)
4
RULE 6
Derivative Quotient Rule
If u and v are differentiable at xr and if v(x) # 0, then the quotient u/v is differ-
entiable at x, and
du
dx
dv
dx
d
dx
RULE 5
Derivative Product Rule
If u and v are differentiable at x, then so is their product uv, and
d
dv
du
dx
4 (uv) = u
+ v
dx
dx
5
Transcribed Image Text:Fined derivative for the following function by use Rule 5 & Rule 6:- ( Differentiation Rules) (x – 1)(x² y 2x) 4 RULE 6 Derivative Quotient Rule If u and v are differentiable at xr and if v(x) # 0, then the quotient u/v is differ- entiable at x, and du dx dv dx d dx RULE 5 Derivative Product Rule If u and v are differentiable at x, then so is their product uv, and d dv du dx 4 (uv) = u + v dx dx 5
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