Calculus-Gamma

Limits

100

\lim_{x\rightarrow2}(x+2)

What is 4?

200

\lim_{x\rightarrow3}(x-3)/(x+3)

What is 0?

300

\lim_{x\rightarrow3}(x^2-9)/(x-3)

What is 6?

400

\lim_{x\rightarrow\pi}e

What is e?

500

  \lim_{x\rightarrow3}f(x)  given

f(x)=2x^2-18

What is 

0

Derivatives

100

d/dx(5)

What is 0?

200

d/dx(2x)

What is 2?

300

d/dx(ex)

What is e?

400

d/dx(\pix^2)

What is 

2\pi x

500

d/dx(ln(x))

What is 

1/x

More Derivatives

100

d/dx(ln(2x))

What is 

2/x

200

d/dx(e^{2x})

What is 

2e^{2x}

300

d/dx(e^x+ln(2x))

What is 

e^x+2/x

400

e^{2x}+1/2\cdot ln(x/2)

What is 

2e^{2x}+1/x

500

Implicit derivative (not solved for dy/dx)

x^2+xy^2=16x

What is 

2x+y^2+2xydy/dx=16

Optimization

100

This critical value for the function

100x-5x^2

What is 10?

200

This critical value for the function

64x-2x^2

What is 16?

300

This critical value for the function

18x-3x^2

What is 3?