Question

Find the indicated derivative using implicit differentiation

(8xe^y)-(ye^x)=29 ; dy/dx

Answer 1

(8x)e^y(dy/dx)+8e^y - (dy/dx)e^x-ye^x = 0
Solve for dy/dx

Answer 2

(8x)e^y(dy/dx) - (dy/dx)e^x-ye^x = -8e^y

Answer 3

(8x)e^y(dy/dx) - (dy/dx)e^x= -8e^y + ye^x
(dy/dx)(8xe^y - e^x) = -8e^y + ye^x
dy/dx = (-8e^y + ye^x )/(8xe^y - e^x)

Answer 4

check the math

Answer 5

take derivate and solve for y prime

Answer 6

i can start writing it down,headace about to go home and sleep

Answer 7

Yes! Thank you bahrom. I guess i have to study this some more. so confusing...

Answer 8

Am getting a different answer here though...

Answer 9

8e^y-e^xy

Answer 10

move the constant over and took the derivate to be 0