Calculate the second order linear derivatives fxy, fyx for the given function f(x,y)=x^3+8xy
- print Print
- list Cite
Expert Answers
Rylan Hills
| Certified Educator
calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
I assume fyx means differentiation of f with respect to y followed by differentiation with respect to x,...
(The entire section contains 66 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- What is the second derivative of the function f(x) given by f(x)=e^2x+sin2x/2x ?
- 1 Educator Answer
- What is the second derivative of the function f(x)=2x^3+e^2x+sin 2x-lnx?
- 1 Educator Answer
- Calculate the antiderivative of the function f(x) given by f(x)=2x/(x+1)*(x^2+1)?
- 1 Educator Answer
- What is f(x) if derivative is f'(x)=sin2x/(sin^2 x-4)?
- 1 Educator Answer
- If f(x) = x^6+4x^4+3x, find the second derivative of f''(x).
- 1 Educator Answer
giorgiana1976 | Student
We'll begin with fxy.
fxy = d^2f/dydx = [d(df/dx)]/dy
We'll differentiate with respect to x:
fxy = d[d(x^3+8xy)/dx]/dy
fxy = d(3x^2 + 8y)/dy
We'll differentiate with respect to x:
fxy = 8
We'll calculate fyx:
fyx = d^2f/dxdy = [d(df/dy)]/dx
fyx = d[d(x^3+8xy)/dy]/dx
fyx = d[d(8x)]/dx
fyx = 8
So, the second order linear derivatives are: fxy = 8 ; fyx = 8.
check Approved by eNotes Editorial
Student Answers