Show:
Limits
Differentiations
Implicit Differentiation
Roll's Theorem
Trig Identities
100
Find the Limit of Lim(x) x^2-4 x->2
0
100
Find F'(x) 3x+2
3
100
Find F'(x) xy+x^2
-2x+y = y' x
100
Determine if Roll's Theorem applies F(x)=x^2-16 in (-4,4)
Yes
100
Find the Derivative Sin(x)
Cos(x)
200
Find the Limit of Lim(x) Sin5x x->0 Sin(x)
5
200
Find F"(x) (3x^3)(2x^2+x)
12x^2(10x+3)
200
Find F'(x) x^2y+y^2
-2xy =y' x^2+2y
200
Determine if Roll's Theorem applies F(x) = x^2-4 in (-2,3)
No
200
Find the Derivative Cot(x)
-(csc^2(x))
300
Find the Limit of Lim(x) Sin5x + Sin5x x->0 2x 4x
3 3/4
300
Find F''''(x) x^5
120x
300
Find F'(x) 2x^3+(2y)^2
6x^2+4y =y' 2
300
Does Roll's Theorem apply? F(x)= x^2+x-2 (-1,1)
No
300
Find the Derivative Sec x
(Sec(x)tan(x))
400
Find the limit Lim(x) 5x x->0 Sin5x
5
400
Find F'''(x) x^2+25x+630
0
400
Find F'(x) 2x^5+3y^2-5x+2y
-10x^4-5 6y-2
400
Using Roll's Theorem find where F'( c) = 0 when F(x)=x^3+5x^2+4x+4 (-1, 6)
Roll's Theorem does not apply
400
Find the derivative Tan x
(Sec^2x)
500
Find the limit Lim(x) 4x^2+10 x->3 x^2-9
DNE
500
Find F'(x) (5x^4+3)^2
40x^2(35x+9)
500
Find F'(x) 2x^2 2y
8xy - 4y'x^2 (2y)^2
500
Using Roll's Theorem find all F'( c) = 0 F(x)= x^2-3x-10 (5,-2)
F(5)=0 F(-2)=0 Rolls Theorem applies c= 2/3
500
sin^2(x) + cos^2(x)=
1