Firefox File Edit View History Bookmarks Tools window Help : Abramson-MA * Patri

Question

Firefox File Edit View History Bookmarks Tools window Help : Abramson-MA * PatricklMT » Related Rates-A * Home l Chegg.com x | M Your question was answer x e lf 5x2 +4x+xy=2 And Y(2) * ) https://webwork2.asu.edu/webwork2/Abramson.MAT-265-Fall-2014/Section-2.6/1/ Password/Email Prev Up Next Entered -3.5 Grades Answer Preview Result Problems incorrect Problem1 Problem2 Problem3 Problem4 Problem5 Problem6 Problem 7 Problem8 The answer above is NOT correct. (1 pt) If 5x2 + 4x + xy = 2 and y(2) =-13, find y'(2) by implicit differentiation. Preview Answers Submit Answers Display Options Your score was recorded You have attempted this problem 4 times. You received a score of 0% for this attempt. Your overall recorded score is 0% You have unlimited attempts remaining View equations as: mages MathJax Show saved answers? Yes Email instructor Use Equation Editor? Yes Apply Options Cl 28

Explanation / Answer

Okay, in order to preform implicit differentiation, you need to solve for y with respect to x. So when you differentiate y, it will be dy/dx, also equivalent to y'.

Solution:

After differentiating:

10x + 4 + x(dy/dx) + y = 0.
x(dy/dx) = -10x - 4 - y
dy/dx (y') = (-10x - 4 - y)/x

You already know the coordinate (2,-13) because of the y(2) = -13. Plug in the numbers you know for x and y, 2 and -13, respectively.

Solution:

(-10(2) - 4 - (-13)) / 2
(-20 - 4 + 13) / 2
(-11) / 2

-11/2.

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.