Posted by L. on Saturday, July 5, 2008 at 10:53pm.
what is the derivative of y=4secx^2=3cotx ?

math  drwls, Sunday, July 6, 2008 at 12:25am
Is the second = supposed to be a minus? In other words, is the function
y = 4secx^2 3cotx ?
Also, do you mean (secx)^2, or sec(x^2) ?

math  L., Sunday, July 6, 2008 at 1:26am
Sorry about that. y=4sec(x^2)3cotx

math  drwls, Sunday, July 6, 2008 at 7:30am
The derivative of secx is tanx*secx.
The derivative of cotx is csc^2x
Treat sec*(x^2) as a function f of a function g(x). f(g) = sec g; g(x) = x^2
d/dx[sec(g(x))]= d/dg(secg)*dg/x
d/dx[sec(x^2)] = tanx^2)*sec(x^2)*2x
Now add them all up, and include the constant coefficients
dy/dx = 8x tan(x^2)*sec(x^2) + 3csc^2 x
Answer This Question
Related Questions
 Trigonometry (identities) (last help needed)  1. (2cosx2secx)(3cosx^2+3secx^2...
 Derivatives  Can you help me find the derivative of these problems...Every time...
 math  Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x...
 Calculus check  The integral of (x^24secxtanx) dx= I got x^3/34secx+c
 Trigonometry  How do I find all solutions to: tanx+3cotx=4? The answer choices ...
 math derivative please help  the derivative of 2x^e is zero right or no? do i ...
 Math Derivative  Find derivative of f(x)=g(h(x)) Would the derivative be ...
 math  Find the derivative of y=3x2(4^x) Here is my attempt: Derivative of 3x ...
 Calculus> bobpursley  How do you get m=0? from taking the second ...
 Math (Derivative)  Computer the derivative of f(x)=x(1/x) for x>0 using the...
More Related Questions