**Unformatted text preview: **m= $' (-3) = 10(-3) -2= -38
=49
y-49 - -2a(x +3)
b) What is the slope of the normal line for f(x)?
7 of 7
1 slope
3a
27) The graph of f (x) is shown to the right.
a) Is f continuous at x = 0? Why or why not?
no, lim fu) + limof()
X-70*
b) Is f differentiable at x = 0? Why or why not?
no be cause i+ isn 4
Continuous
c) Using the domain of [-3, 3], state the x-intervals where f(x) is differentiable
(-3, 0Ju(D, 3)
7
28) Find the derivative of the following functions. State the formula used for each.
Rodud lol a) 3 =(x3 - 6x) (2 - 4x3)
Quchert
b) 9 23 +3
u'= 3x2 V'=-lax
N's 8x v'= 3x2
u'.V-u.V
u'.viu.V
va
8x 4+aux - 12x 4
y'= (3x -u)(a-ux")+ (x (xX-lax") y - (84( x 243)-(4x)(3x-)
(x 243y
or
y'= box?-laxS- la+ aux 2/ax$+ 7av 3
4'= -Ax4+24x
y = -aux$49(x3+ box"-la
c) 2x. [x -3]lx=1
d)y = Vzx + 1 > constant
(no x')
& [x]= -3x-1
y's Vax' +0
ly'= Va
dy2 2 x3] = -box
=/360...

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- Fall '16
- Ms. Grieco
- Calculus, Derivative, V-U, Y-49