University of Houston

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81

Problem 51

Comparing Functions Consider $f(x)=\tan ^{2} x$ and $g(x)=\sec ^{2} x .$ What do you notice about the derivatives of $f$ and $g ?$ What can you conclude about the relationship between $f$ and $g ?$

Answer

$$

f(x)=\frac{x^{3}}{3}-4 x+\frac{16}{3}

$$

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

All right, go in. 51. We are giving effort. That's equals the annex. We're dead and G of X. We are given seek. It's weird. Ex classifying what? The right ship is between the two. I'm gonna kick, uh, derivative. Yes, I'm driving. Crime ex played for my chain rule my ex. I am. Yes. And then the derivative looked hand okay, squared eggs. And when you take the derivative again, I have to use my jail two times seeking and the derivative of seeking and speaking next, which is me to seek it. Weird X and X So I have the same function. So Beth back has seem derivative of G of X. But again, we don't know about the constant, so it's an unknown sea.

## Recommended Questions