## 25 Reputation

3 years, 346 days

## @acer hi acer sorry for the repeate...

@acer hi acer sorry for the repeated question. I will not do it again.

I don't know that I can you square bracket insted of round bracket, I will change it in my future work.

I meant to write 90 degree, so I think from now on I will need to use it in terms of pi.

I made an unintentional mistake at the last part, it should be sin((theta + 90 + delta - beta + phi)).

Thank you for your help and assitance.

Kind regards

Faiz Farhan

## Sorry for my mistakes on the differentia...

@Carl Love Hi Carl, sorry for the mistakes, and thanks for your participation!

Let me rearrange the question of this differentiation, so I have the equation as follow

eq3 := P = 1/2*gamma*H^2*[cos(theta - beta)*cos(theta - alpha)*sin(beta - phi)/(cos(theta)^2*sin(beta - alpha)*sin(((beta + 90 + delta) - beta) + phi))]

And according to the paper I read, to get the critical value of beta for maximum value of P, I need to make differentiation to first derivative where dP/d(beta) = 0.

Note that in this case only beta is the only variables, and other coefficients are constant.

Then I should substitute back value of beta to equation above and the paper shows that i should get equation below.

P = 1/2*K*gamma*H^2

where K is equal to

K = cos(phi - theta)^2/(cos(theta)^2*cos(theta + delta)*(1 + sqrt(sin(delta + phi)*sin(phi - alpha)/(cos(theta + delta)*cos(theta - alpha))))^2)

Hope you can help me with this. It's good enough if I can learn how to perform differentiate with respect to variable.

Thank you again :)

Regards

Faiz Farhan

## @Carl Love thank you for your solut...

@Carl Love thank you for your solution.

May I know why you use 2= H^2*.. in front of the command?

## @Kitonum    ...

 (1)

 (2)

 (3)

Is there any way that we let Maple simplify above expression (eq3) to a much simpler form of solution below?

the solution provided is as follow,

 (4)

where K is,

and

= M

 (5)

so that,

Thank you for your help! I really appreciate that.

I succesfully found the solution based on the way you taught.

Now I am stuck at some more complicated expressions, equation and variable.

I really hope you can help me to take a look into this and give me some idea how to get to the solution.

Thank you very much.

Kind regards,

Faiz Farhan

## Thank you! Can you help me with a much c...

@nm Thank you for your help! I really appreciate that.

I succesfully found the solution based on the way you taught.

Now I am stuck at some more complicated expressions, equation and variable.

I have compiled it into one worksheet and I really hope you can help me to take a look into this and give me some idea how to get to the solution.

Thank you very much.

Kind regards,

 (1)

 (2)

 (3)

Is there any way that we let Maple simplify above expression (eq3) to a much simpler form of solution below?

the solution provided is as follow,

 (4)

where K is,

and

= M

 (5)

so that,