Power Rule
Find the derivative:
y=x10
y=10x9
Find the derivative:
f(x)=(x2-1)(x+5)
f'(x)= 3x2+10x-1
Which of these examples would you use the quotient rule to find the derivative?
A. y=(x2+3x)(x+8)
B. y=sin(x)cos(x)
C. y=(x2+6)/(x+3)
D. y=3x7-4x5
C. y=(x2+6)/(x+3)
Which of these examples would you use the power rule to find the derivative?
A. y=(x2+3x)(x+8)
B. y=sin(x)cos(x)
C. y=(x2+6)/(x+3)
D. y=3x7-4x5
B. y=sin(x)cos(x)
What is Mr. Roe's camp called?
Camp Ruggles baby
A. y=(x2+3x)(x+8)
B. y=sin(x)cos(x)
C. y=(x2+6)/(x+3)
D. y=3x7-4x5
D. y=3x7-4x5
Which of these examples would you use the product rule to find the derivative?
A. y=(x2+3x)(x+8)
B. y=sin(x)cos(x)
C. y=(x2+6)/(x+3)
D. y=3x7-4x5
A. y=(x2+3x)(x+8)
Find the derivative:
f(x)=4/x6
f'(x)= (-24)/x7
Find the derivative:
f(x)= tan(x)
f'(x)= sec2x
What are his sheep's names?
Slingshot and Bandit
Find the derivative:
y=x4+6x2-8x+3
y=4x3+12x-8
Find the derivative.
f(x) = 2x(x2 + 3x)
f'(x)=6x2 + 12x
Find the derivative:
y= (5x+1)/(3x-4)
y'= -23/(3x-4)2
Find the derivative:
y=sin(x)+cos(x)
y'=(1+cot)/csc(x)
True or false: Mr. Roe broke his jaw playing basketball.
False. He broke his orbital.
Find the derivative:
f(x)=2x-10+7x-2
f'(x)=-20x-11-14x-3
Find the SECOND derivative:
f(x) = (3x - 2x2)(5 + 4x)
*Hint: More than one rule may have to be used.
f'(x)= -24x2 +4x + 15
f"(x)= -48x+4
Find the derivative:
f(x)= (3z+9)/(2−z)
f'(x)= (15)/((2−z)2)
Find the derivative:
y=(1+cot(x))/csc(x)
y'=[1+cos(x)/sin(x)]/[1/sin(x)]
What is his twin's name?
Julio
Find the derivative:
The limit as h approaches 0 of [(x+h)2+4(x+h)-x2-4x]/h
2x+4
Find the derivative:
f(x): 3(x4 - 1)( 5x2 + 2x)
f'(x)= 3(30x5 + 10x4 - 10x -2)
Find the derivative:
f(x)= (4√x)/(x2−2)
f'(x)= −6x3/2−4x-1/2/((x2−2)2)
Find the derivative:
The limit as x→4 of sin(x−4)/(x−4) is...
1
What's his childhood nickname?
A. Tiny Lamb
B. Big Bird
C. Big Larry
D. Big Mand
A. Tiny Lamb