In each case, find ᵈʸ⁄dₓ.
Problem 1 :
x2 + y2 = 25
Solution :
x2 + y2 = 25
Differentiate with respect to x.
Problem 2 :
4x3y2 + 3x = 1
Solution :
4x3y2 + 3x = 1
Differentiate with respect to x.
Problem 3 :
x2y2 + 3xy + y = 0
Solution :
x2y2 + 3xy + y = 0
Differentiate with respect to x.
Problem 4 :
ln (x + y) = 5x2
Solution :
ln (x + y) = 5x2
Differentiate with respect to x.
Problem 5 :
ey = xy2
Solution :
ey = xy2
Differentiate with respect to x.
Problem 6 :
sin(x2 + y2) = ey
Solution :
sin(x2 + y2) = ey
Differentiate with respect to x.
cos(x2 + y2) ⋅ (x2 + y2)' = ey(y)'
Problem 7 :
3y2 - cos y = x3
Solution :
3y2 - cos y = x3
Differentiate with respect to x.
Problem 8 :
sin x = x(1 + tan y)
Solution :
sin x = x(1 + tan y)
sin x = x + xtan y
Differentiate with respect to x.
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