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. (2cosx-2secx)(3cosx^2+3secx^2...
- Derivatives - Can you help me find the derivative of these problems...Every ...
- 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^2-4secxtanx) dx= I got x^3/3-4secx+c
- math derivative please help - the derivative of 2x^e is zero right or no? do i ...
- Trigonometry - How do I find all solutions to: tanx+3cotx=4? The answer choices ...
- math - Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x ...
- Calculus--> bobpursley - How do you get m=0? from taking the second ...
- Derivatives- Math - Can someone explain how to find the derivative of : 1. y= 5...
- calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...

More Related Questions