The expression dy/dx = x(cube root^3 y) gives the slope at any point on the graph of the function f(x) where f(2) = 8. - equation of the tangent line f(x) at point (2,8) = (y-8)=4(x-2) - expression for f(x) in terms of x = f(x)=[x^2/3+8/3]^3/2 -domain all real numbers. -minimum [8/3]^3/2 Using the axes provided, sketch a slope field for the given differential equation at the nine points indicated.

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The expression dy/dx = x(cube root^3 y) gives the slope at any point on the graph of the function f(x) where f(2) = 8.


- equation of the tangent line f(x) at point (2,8) = (y-8)=4(x-2)
- expression for f(x) in terms of x = f(x)=[x^2/3+8/3]^3/2
-domain all real numbers.
-minimum [8/3]^3/2

Using the axes provided, sketch a slope field for the given differential equation at the nine points indicated.

 

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