Question

How do i go about solving this question 10?

Answer 1

http://www.math.uh.edu/~pamb/1431EMCF%2012.pdf

Answer 2

what is the derivative of f(x) = sin^2(x) ?

Answer 3

you should have a formula for that derivative somewhere :)

Answer 4

it is 2sinx cos x

Answer 5

I dont know where to go from that besides putting in the pi over 4 and using the unit circle points..

Answer 6

oh, well you're almost there...

If you have that as the derivative... that expression is f'(x)

f ' (x) = 2(sin (x) )(cos (x) )

and you need to evaluate at x = pi / 4

Answer 7

so f ' ( pi/4) = 2 sin (pi/4) cos (pi / 4)

Answer 8

2(root2/2)(root2/2)

Answer 9

then i dont understand what im supposed to do next

Answer 10

\[2\frac{ \sqrt{2} }{ 2 }\frac{ \sqrt{2} }{ 2 } = 2 \frac{ \sqrt{2}^{2} }{ 4 } = 2\frac{ (2) }{ 4 }\]

Answer 11

**mind blown*** why ? my teacher gave no examples like this btw. so im a noob

Answer 12

:) I love "mind status: blown" it's a sign of a curious (= healthy) person !!

But no kidding... wish they'd teach you instead of leaving so much for you to discover on your own!!

Answer 13

oh wait i see it. i should get some sleep lol.

Answer 14

ahaha im silly i thought the = sign was a plus sign so i was like O.e sorcery! lol buuut i see it now. so it would just be 1

Answer 15

thanks so much!

Answer 16

yeah :) we both need some sleep :)

Answer 17

pretty sure that "sorcery" explains it all... :) that will laugh me off to sleep :)