Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

help me in math, differentiation

is my work right here?and can I just move that 1/2 out and get 4xsinx to obtain the final answer?pls ignore the left part of my work, I miscopied sth, just pls help me with that differentiation on the right

(edited 3 years ago)

微信图片_20200526223807.jpg113.4KB

Screenshot_2.png16.5KB

You're nearly there but not quite right!

What did you multiply by to get rid of the sec^2 factor? What happens to the tan(x/2) when you do this? And no - you can't just take 1/2 outside the sine :smile:

:smile:

Original post by Hedwigeeeee

is my work right here?and can I just move that 1/2 out and get 4xsinx to obtain the final answer?pls ignore the left part of my work, I miscopied sth, just pls help me with that differentiation on the right

username4197954

when you multiplied

8xtan(\frac{1}{2}x)

by

cos^{2}(\frac{1}{2}x)\ \

you should have got

4xsin(x)

using the Sine Double Angle Identity

(edited 3 years ago)

i cant get the final answer after this step

username4197954

Original post by Silentieyes

i cant get the final answer after this step

I assume that this is a different question - not related to your original question?

username4197954

Original post by Silentieyes

i cant get the final answer after this step

\frac{5}{cos(x)}.-sin(x)=\frac{-5sin(x)}{cos(x)}=-5tan(x)\\\\

Is there something you need to do after this step?

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