Dy/dx = x²y²
d²y/dx² = is taking the derivative of the dy/dx
Note that if y = xⁿ, dy/dx = nxⁿ ⁻ ¹.
For x²y² we will apply product rule of differentiation and implicit differentiation.
Product rule for y = uv
dy/dx = v(du/dx) + u(dv/dx)
dy/dx = x²y²
d²y/dx² = 2xy² + x²*2y*(dy/dx)
d²y/dx² = 2xy² + 2x²y*(dy/dx)
But recall dy/dx = x²y²
d²y/dx² = 2xy² + 2x²y*(dy/dx)
d²y/dx² = 2xy² + 2x²y*( x²y²)
d²y/dx² = 2xy² + 2x⁴y³ = 2xy²(1 + x³y)
I hope this helps.
No it is not.
Hope it helped!
Answer:
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3(1/3x + 8) = 11
x + 24 = 11
x = 11 - 24
x = - 13
Summarize the distributon is what my friend told me