Question
Function
Find the first partial derivative with respect to v
Find the first partial derivative with respect to g
∂v∂h=vg
Evaluate
h=2v2g
Multiply the terms
h=2v2g
Find the first partial derivative by treating the variable g as a constant and differentiating with respect to v
∂v∂h=∂v∂(2v2g)
Use differentiation rules
∂v∂h=21×∂v∂(v2g)
Calculate the derivative
More Steps

Evaluate
∂v∂(v2g)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
g×∂v∂(v2)
Use ∂x∂xn=nxn−1 to find derivative
g×2v
Multiply the terms
2vg
∂v∂h=21×2vg
Solution
∂v∂h=vg
Show Solution

Solve the equation
Solve for g
Solve for h
Solve for v
g=v22h
Evaluate
h=2v2g
Multiply the terms
h=2v2g
Swap the sides of the equation
2v2g=h
Cross multiply
v2g=2h
Divide both sides
v2v2g=v22h
Solution
g=v22h
Show Solution
