Find ∂ z / ∂ x and ∂ z / ∂ y by implicit differentiation , and confirm that the results obtained agree with those predicted by the formulas in Theorem 13.5.4. x 2 − 3 y z 2 + x y z − 2 = 0
Find ∂ z / ∂ x and ∂ z / ∂ y by implicit differentiation , and confirm that the results obtained agree with those predicted by the formulas in Theorem 13.5.4. x 2 − 3 y z 2 + x y z − 2 = 0
Find
∂
z
/
∂
x
and
∂
z
/
∂
y
by implicit differentiation, and confirm that the results obtained agree with those predicted by the formulas in Theorem 13.5.4.
x
2
−
3
y
z
2
+
x
y
z
−
2
=
0
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Find
and
by implicit differentiation, and confirm that the
results obtained agree with those predicted by the following theorem.
If the equation f(x,y,z) = c defines z implicitly as a differentiable
fe
az
function of x and y, and if
70, then
xg/fe
ду
az
az
and
af/@y
ze/fe
In(1+ z) + xy? + 8z = 1
az
8. Which of the following could be differentiated
by using implicit rule only?
A) x2 + y2 = 9
B) 4x2y - xy = 3x
C) 3x5y 50
D) 3xy – y? = 14
9. Which of the following need to contain when
applying the implicit differentiation?
A) x?y
B) 5x
C) 5*
D) 2x-x2
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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