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

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

Solve the equation
Solve for g
Solve for p
Solve for v
g=v2p
Evaluate
p=2gv
Multiply the terms
p=2gv
Rewrite the expression
p=2vg
Swap the sides of the equation
2vg=p
Cross multiply
vg=2p
Divide both sides
vvg=v2p
Solution
g=v2p
Show Solution
