Posted by deel on Monday, August 20, 2012 at 8:29am.
find the derivatives, dy/dx, for the following functions :
y=(1+sin^2{2 exp (3x)})^5y
please help me to solve this assignment.
thank's

math  drwls, Monday, August 20, 2012 at 8:35am
Are you sure the right hand of the equation ends with y? If so, you do not have an explicit y(x) function.
It can be differentiated implicitly, but is rather a mess.

math  deel, Monday, August 20, 2012 at 10:42am
yes i'm sure..the assignment like that.

math  Steve, Monday, August 20, 2012 at 12:00pm
wow. that's a nasty one.
Recall that, extending the power and exponent rules, if u and v are functions of x, then if
y = u^v
dy/dx = v*u^(v1) du/dx + ln(u) * u^v * dv/dx
So, letting
u = 1+sin^2(2e^3x)
y = u^5y
y' = 5y * u^(5y1) u' + ln(u) * u^5y * 5y'
Now, u' = 2sin(2e^3x)cos(2e^3x)*(6e^3x)
and I'm sure you can take it from there. Good luck!

math  deel, Tuesday, August 21, 2012 at 4:32am
thank's steve :)
Answer This Question
Related Questions
 Calculus II  What is sin(i)  (sin of the imaginary number, i) What is cos(i...
 Math/Calculus  How would I evaluate the following integral by using integration...
 Calculus  Okay so I have a question on my assignment that says: You are given ...
 Maths Calculus Derivatives  Find the first derivative for the following ...
 Integral calculus  Please can anyone help with the following problems  thanks...
 math  Can anyone help w/ these. 1) Solve the equation in the internal [0deg, ...
 Calculus  Find the outside and inside functions of the following to find their ...
 math please help  Inverse Trigonometric Functions please explain this to me in ...
 calculus  derivatives  can you please find the first 5 derivatives for: f(x...
 Calculus  Math questions, please help me? :(? Find the composite functions f o ...
More Related Questions