5. Given the function: f(x,y)=x⁴y⁵+x²y³ Find expressions for the following partial derivatives: a. fx = b. fxx c. fxy= d. fy = e. fyy f. fyx =
Added by Sarah C.
Close
Step 1
f(x,y)=x⁴y⁵+x²y³ fx = 4x³y⁵+2xy³ Show more…
Show all steps
Your feedback will help us improve your experience
Sriram Soundarrajan and 54 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let $f(x, y)=3 x^{3} y^{2} .$ Find $$ \begin{array}{lll}{\text { (a) } f_{x}(x, y)} & {\text { (b) } f_{y}(x, y)} & {\text { (c) } f_{x}(1, y)} \\ {\text { (d) } f_{x}(x, 1)} & {\text { (e) } f_{y}(1, y)} & {\text { (f) } f_{y}(x, 1)} \\ {\text { (g) } f_{x}(1,2)} & {\text { (h) } f_{y}(1,2)}\end{array} $$
PARTIAL DERIVATIVES
Partial Derivatives
Calculate the second-order partial derivatives. f(x, y) = 5 x^3 + 3 x^2 y + 4 xy^2 a) fxy = fyx = 30 x + 6 y, fxx = 8 x, fyy = 6 x + 8 y b) fxy = fyx = 6 x + 8 y, fxx = 6 x + 8 y, fyy = 6 x + 8 y c) fxy = fyx = 8 x, fxx = 6 x + 8 y, fyy = 3 x^2 + 8 xy d) fxy = fyx = 8 x, fxx = 30 x + 6 y, fyy = 30 x + 6 y e) fxy = fyx = 6 x + 8 y, fxx = 30 x + 6 y, fyy = 8 x f) None of these.
Sri K.
Indicate right answers
Shima S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD