Posted by **Janet** on Sunday, March 20, 2011 at 7:47pm.

I need help with finding first and second derivative--simplify your answer.

Y=xtan(x)

I solved first derivative

xsec^2(x) + tan(x)

I don't understand how to get the first...can someone show me the steps with explanation?

- Calculus -
**Janet**, Sunday, March 20, 2011 at 7:48pm
Sorry I don't understand how to get the second derivative, I gsolved the first derivative already

- Calculus -
**bobpursley**, Sunday, March 20, 2011 at 8:04pm
well, the derivative of tan(x) is sec^2(x) that part is trivial.

derivative of x(sec^2(x)) is

y=uv

y'=vu' + uv'

let u=x v=sec^2=cos^-2

u'=1 v'=-2cos^-3*(-sin)

v'=2tan(x)sec^2x

so overall, the

f"=2x tan(x)sec^2(x)+sec^2(x)+sec^2(x)

## Answer This Question

## Related Questions

- calculus - Find the first and second derivative - simplify your answer. y=x/4x+1...
- Calculus - How would I go about finding the derivative of f(x)=ln(x)(7x-2)^3 ...
- Calculus - I need to find the second derivative of y=x(x-1)^1/2. I found the ...
- math - For what intervals is g(x) = 1/x2 + 1 concave down? (Enter your answer ...
- College Calculus 1 - We have to find the first and second derivative of f(x)=x^(...
- calculus - Please help with this. I need the first derivative of f(x)=4(x+...
- calculus - Please help with this. I submitted it below and was asked to clarify ...
- Applied Calculus - Find the first and second derivative of the function: x/(7x+...
- calculus - Please help with this. I submitted it below but no one responded. I ...
- Calculus--> bobpursley - How do you get m=0? from taking the second ...

More Related Questions