Number 
Question 
Answer 
See the work 
1.

If find y'(2) by implicit differentiation.


The work
Point Cost: 3

2.

If and y(5)=18, find y'(5) by implicit differentiation.

3.2

The work
Point Cost: 3

3.

For the equation given below, evaluate y' at the point (2,1).
y' at (2,1)=______

y' at (2,1)= 1.125

The work
Point Cost: 3 
4.

For the equation given below, evaluate y' at the point (1,2).
y' at (1,2)=______

y'= 0

The work
Point Cost: 3 
5.

Find y' by implicit differentiation. Match the expressions defining y implicitly with the letters labeling the expressions for y'.

1. A
2. B
3. C
4. D

The work
Point Cost: 1 
6.

Find dy/dx by implicit differentation:
tan(x/y)=5x+3y


The work
Point Cost: 3

7.

Find dy/dx by implicit differentation:

dy/dx=

The work
Point Cost: 3

8.

Use implicit differentiation to find the slope of the tangent line to the curve
at point (4,1)
m=_______

m= 0.132352941176471 
The work
Point Cost: 3 
9.

Find the slope of the tangent line to the curve
at the point (7,6) slope=____________

Slope= 6/7 
The work
Point Cost: 3 
10.

Find the slope of the tangent line to the curve
4sin(x)+3cos(y)4sin(x)cos(y)+x=3π
at the point (3π, 7π/2)

slope= 1 
The work
Point Cost: 3 
11.

Find the slope of the tangent line to the curve
at the point (6,2)

slope= (0.81980107453/1.71320071636) 
The work
Point Cost: 3 
12.

Find the slope of the tangent line to the curve
at the point (9,1/6(sqrt(45)))
m=______ b=_______

m= 0.223606797749979 b= 0.894427190999916

The work
Point Cost: 3 
13.

Find the equation of the tangent line to the curve at the point (3,1). The equation of this tangent line can be written in the form y = mx+b where m is:_________ and where b is:______

m= 0.692307692307692 b= 3.07692307692308

The work
Point Cost: 3 
14.

Let . Find y''(x) at the point (4,1).
y''(4)=_____

y''(4)= 520

The work
Point Cost: 3 