Implicit Differentiation
Until this point all the functions we have found the derivative of have been in
EXPLICIT form, that is y=_, we will now find the derivative of
Kuta Software ~ Infinite Calculus Name
Differentiation Product Rule Date Period
Differentiate each function with respect to x.
1) y = x3(3x4 2) 2) f(x) = x2(-3x2 2)
"33 ~ 5 ix} 7 3" ~ "-43
Product and Quotient Rules
The Product Rule
We use the product rule to find the derivative of two functions that are being
multiplied together so that we can find th
Calculus
Power Rule Worksheet
Name _
Block
Date
Find the derivative of each function.
1.
y = x8
y = 3x
2.
6.
f (x ) = x 2 10x + 100
10.
3.
s (t ) = t + 6t 18t + 2t
13.
8
y=
3
4x 3
7
+
7
2x 9
7.
2
5
4.
Calculus Name
Power' Rule Workshee1L Block Dare
Find The derivarive of each function.
1-):X8 2 y=§/;/ 3 Y=X5_ 4. V(F)=7rr'3 5.)(7)=67"9 0K
~7 I :c, ~76
7 t 3 - f D. U ,
31:5! \l A :X: {1% 3 v/(
Name_
3.5 3.7 Fizz
Find the limit at infinity.
2x 1
x 3 x + 2
1. lim
2 x10 1
x 10 x 11 3
2. lim
3. lim
x
2x + 1
x2 x
6. Find the length and width of a rectangle that has a perimeter of 80 and a maxim
INTRO TO CALCULUS
REVIEW FINAL EXAM
NAME:
DATE:
A. Equations of Lines (Review Chapter)
y = mx + b (Slope-Intercept Form)
Ax + By = C (Standard Form)
y y1 = m(x x1) (Point-Slope Form)
Problems:
1.
Find