Diff. Calc

Question 1

First Derivative

Answer 1

d/dx (given) x = 1.1 or .001 (depends)

Question 2

Second Derivative

Answer 2

d/dx (given) x = 1.1
Sto A
d/dx (given) x = 1.1+.001
Sto B
(B-A)/.001 divide Choices = 1 dapat

Question 3

Third Derivative

Answer 3

d/dx (given) x = 1.1
Sto A
d/dx (given) x = 1.1+.001
Sto B
d/dx (given) x = 1.1+.001+.001
Sto C
(C-2B+A)/.001^2 divide Choices = 1 dapat

Question 4

MVT

Answer 4

f’(c) = (f(b)-f(a)/b-a)

Question 5

Point of Inflection

Answer 5

y’‘=0, 2nd derivative of f(x) to get x,
then use x to solve for y from f(x)

Question 6

Radius of Curvature

Answer 6

f(x) = ((1-(y’)^2)^1.5/y’’

Question 7

Limits

Answer 7

Given. x approaches n
Calc? x = n+.001
Calc? x = n-.001
Must satisfy LHL and RHL otherwise DNE

Question 8

Parametric Equation

Answer 8

dy/dx = (d/dx(y)_x=1.1)/(d/dx(x)_x=1.1)

Question 9

2nd Order Parametric Equation

Answer 9

d^2y/dx^2 = d/dx(y)_x = 1.1/d/dx(x)_x = 1.1
sto A
d^2y/dx^2 = d/dx(y)_x = 1.1+.001/d/dx(x)_x = 1.1+.001
sto B
(B-A)/.001 divide d/dx(x)_x=1.1