Find the dy/dx xy=(x+y)^4

dy/dx =   (4 (x + y)^3 - y) / ( x - 4(x + y)^3).

Step-by-step explanation:

xy = (x + y)^4

Using implicit differentiation:

x dy/dx + y*1  = 4 (x + y)^3 * (1 + dy/dx)

x dy/dx + y =  4 (x + y)^3 + 4 dy/dx (x + y)^3

x dy/dx -  4 dy/dx (x + y)^3 =  4 (x + y)^3 - y

dy/dx( x - 4(x + y)^3) =  4 (x + y)^3 - y

dy/dx =   (4 (x + y)^3 - y) / ( x - 4(x + y)^3)

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: