Question
Function
Find the first partial derivative with respect to n
Find the first partial derivative with respect to v
∂n∂m=v1
Evaluate
m=n÷v
Rewrite the expression
m=vn
Find the first partial derivative by treating the variable v as a constant and differentiating with respect to n
∂n∂m=∂n∂(vn)
Use differentiation rule ∂x∂(g(x)f(x))=(g(x))2∂x∂(f(x))×g(x)−f(x)×∂x∂(g(x))
∂n∂m=v2∂n∂(n)v−n×∂n∂(v)
Use ∂x∂xn=nxn−1 to find derivative
∂n∂m=v21×v−n×∂n∂(v)
Use ∂x∂(c)=0 to find derivative
∂n∂m=v21×v−n×0
Any expression multiplied by 1 remains the same
∂n∂m=v2v−n×0
Any expression multiplied by 0 equals 0
∂n∂m=v2v−0
Removing 0 doesn't change the value,so remove it from the expression
∂n∂m=v2v
Solution
More Steps

Evaluate
v2v
Use the product rule aman=an−m to simplify the expression
v2−11
Reduce the fraction
v1
∂n∂m=v1
Show Solution

Solve the equation
Solve for m
Solve for n
Solve for v
m=vn
Evaluate
m=n÷v
Solution
m=vn
Show Solution
