Question

Use the process of implicit differentiation to find dy/dx given that: 5x3 y4+3y2/4x3=5xy. Apply implicit differentiation directly without first simplifying the equation.

Answer #1

Use implicit differentiation to determine dy/dx given the
equation e^x⋅y^3+x^4=sin(y)
dy/dx=

Find dy dx/dy implicit differentiation. (x + y^2)10 = 9x^2 +
2

A) Use implicit differentiation to find an equation of the
tangent line to the ellipse defined by
5x^2+4xy+3y^2=12 at the point (−1,−1)
B) Find dy/dx by implicit differentiation, if ey=2x−2y

You are given the following equation. 4x2 + 49y2 = 196 (a) Find
dy / dx by implicit differentiation. dy / dx = (b) Solve the
equation explicitly for y and differentiate to get dy / dx in terms
of x. (Consider only the first and second quadrants for this part.)
dy / dx = (c) Check that your solutions to parts (a) and (b) are
consistent by substituting the expression for y into your solution
for part (a). (Do...

Use implicit differentiation to find ∂z/∂x
x2y3z = sin(x3+5xy+z)

Use this equation to find
dy/dx.
8 tan−1(x2y) = x + xy2

Use implicit differentiation to find the second derivative of y
at point (1, 8), if y is a function given by:
6xy3 - 24sqrt(y) = 24y2

Find the general solution of the given differential equation
(x+!) dy/dx + (x+2)y = 2xe^-x
y = ______
Determine whether there are any transient terms in the general
solution.

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