Find the second derivative at the point (2,2), given the function below. 2x^4=4y^3

The second derivative at the point (2,2) is 34/9

Explanation:

2x⁴ = 4y³

2x⁴ - 4y³ = 0

We first need to find dy/dx and then d²y/dx²

On differentiating the equation in terms of x

dy/dx = d(2x⁴ - 4y³) / dx

We get,

dy/dx = 2x³/3y²

On differentiating dy/dx we get,

d²y/dx² = 2x²/y² + 8x⁶/9y⁵

d²y/dx² = 34/9

Therefore, the second derivative at the point (2,2) is 34/9

8y^50

step-by-step explanation:

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.