Final Exam

Limits

100

Evaluate the limit of:

https://docs.google.com/document/d/1sM1zrWGSVnh5U8rNSrw-Xzwq5ESB540a97gE-j7m64Q/edit

0

200

True/False 0/infinity an indeterminate form.

False

300

Evaluate the limit of:

https://docs.google.com/document/d/1RhDXm6m5mnlugeDyoOvfeaHHpB4H2IO65hfxUvk1WdY/edit

1/8

400

Evaluate the limit of:

https://docs.google.com/document/d/1szgANN-NTN-O2vX1zmF-bt1nQeCYPOJXoQfER75JaTs/edit

0

500

Evaluate the limit of :

https://docs.google.com/document/d/1UMtDWryt_nspoo7Z0LtGyuAJJqhieJlVvcx_KcNFYDM/edit

1

Differentiation (Implicit & Explicit)

100

Find the derivative of:

https://docs.google.com/document/d/1JwFDkxea5tj16t5odPZa7dGW48k0uGqpmxRX6iaujfQ/edit

sinh(z)/(1+cosh²(z))

200

Find the derivative of:

https://docs.google.com/document/d/14Q4H3HzKb3Da1xvqVLw1xTMY0aoSyb9obHR4UBdZGZo/edit

-4t^-2 + 2t^-4 - 40t^-6

300

Find the derivative of:

https://docs.google.com/document/d/1R3KlO6EOnL8dP0goiY77YWhcO8zqcuyEBIP5fuGugW0/edit

2y - 4/y³

400

Find the derivative of:

https://docs.google.com/document/d/1u9u0u3tweqtIgWB3zaTvNd2zqLH47rtbFl8vthoAQO4/edit

y = -2x +4

500

Find the derivative of:

https://docs.google.com/document/d/1XgatL5zRXTmo3azwp9CopOZ9MLo6iiLevCx4WXqXE1k/edit

(8x - ye^x)/(3y²+e^x)

Antiderivative / Integration + U-Sub

100

Evaluate:

https://docs.google.com/document/d/19-uHrawJY366qFbChzRIW_U2SRXC_AupOYT1j1yEr00/edit

x +C

200

Evaluate :

https://docs.google.com/document/d/1pObmO1ok9I5unXzCB7J8DOKCGxrIwqLnLhWWaJjOFUs/edit

-3

300

Evaluate R_4:

_{https://docs.google.com/document/d/110q0El6CWg2M0GeLFwgTvqmTKrijg5pVShZu26dCQcU/edit}

56

400

Evaluate:

https://docs.google.com/document/d/1MkQXVawbqnt0I8N2RVa8zLFVOmdl9Z2NGHAv7QBhavg/edit

3 sin 4x +C

500

Evaluate:

https://docs.google.com/document/d/1FGAOic7D4DzLtp82afkGnxzRS5Fx-GlyneuKCRPBN-s/edit

60 

Random 1

100

State the formula of the Power Rule for Derivatives

f'g +g'f

200

True/ False 

https://docs.google.com/document/d/1J9AvfViQ3W8W1WPtMqT8C2qDlp9m6nIOiaq99WojYe4/edit

True 

300

What does calculus mean in latin?

small stone

400

What is the quotient rule?

f'g-g'f/ g²

500

Use L'Hopital's Rule to solve:

https://docs.google.com/document/d/1S-UhNQeoNk0RQ9pzO2go8R-G_LlFs1fxdjhs5Boil0g/edit

- infinity 

Random 2

100

State the Chain Rule formula 

(f'(g(x)))(g'(x))

200

What is the name of that guy who made the rule about limits that are 0/0?

L'hopital

300

A function fails to be differentiable if it has a....

a discontinuity, corner, cusp or a vertical tangent

400

Find any points where the graph fails to be differentiable and explain why 3√(5x+7)

y is not differentiable at x=-7/5 due to a vertical tangent

500

Evaluate the Limit:

https://docs.google.com/document/d/1H0ZvAgLqowNnFnhaW4ksjdpmELaE-Dxiz7g2rqwl9C8/edit

1