functions pure1

What did this mean can someone tell me?

https://gyazo.com/538d80fe9b0774c431d15faa97f26948?token=f1e1ebebef815a402fc271f09e660087

In question iii)
When they ask you g'(x) what does the ' mean?

Original post by Jian17

What did this mean can someone tell me?

https://gyazo.com/538d80fe9b0774c431d15faa97f26948?token=f1e1ebebef815a402fc271f09e660087

In question iii)
When they ask you g'(x) what does the ' mean?

The first derivative of

g(x)

, ie

\dfrac{d}{dx}g(x)

Reply 2

Jian17

OP

10

Oh okay thanks! and one more thing, in this question : https://gyazo.com/4b4a1740f744db920971a7df254f8dbc?token=b4b23b17c2dfe52ad7672933bcb00126 For part i, the answer is just substituting 0 into x of the equation? Cause in the previous example you answered me by doing something like 0 < cos^2x<1 and then changing it how the equation changed.

Original post by Jian17

Oh okay thanks! and one more thing, in this question : https://gyazo.com/4b4a1740f744db920971a7df254f8dbc?token=b4b23b17c2dfe52ad7672933bcb00126 For part i, the answer is just substituting 0 into x of the equation? Cause in the previous example you answered me by doing something like 0 < cos^2x<1 and then changing it how the equation changed.

The basic function to start with here is

\tan \frac{1}{2}x

. When we have

0 \leq x < \pi

we have

0 \leq \tan \frac{1}{2}x < \infty

.

Hence we have

0 \leq 2\tan \frac{1}{2}x < \infty

etc...

P.S. Get into the habit of 'quoting' people on your threads otherwise we don't get a notification when you reply to us.

(edited 6 years ago)

Reply 4

Jian17

OP

10

And what would be the approach to sketch that equation? If i know how the normal graph of tanx is?

Also what do they look for sketches? Like how precise they should be

Original post by Jian17

And what would be the approach to sketch that equation? If i know how the normal graph of tanx is?

Also what do they look for sketches? Like how precise they should be

If you work up from

\tan x

then you need to know your transformations. I.e.

\tan x \mapsto \tan \frac{1}{2}x

is a stretch s.f. 2 horizontally, etc...

Sketches don't need to be super precise. You only need the qualitative behavior of the curve and label all the important points like intersections, roots, maxima, minima, etc...

Again, just press 'quote' on the post you are replying to whenever you are.

functions pure1

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