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

Evaluate
∂b∂(bm)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
m×∂b∂(b)
Use ∂x∂xn=nxn−1 to find derivative
m×1
Multiply the terms
m
∂b∂y=21m
Show Solution

Solve the equation
Solve for b
Solve for m
Solve for y
b=m2y
Evaluate
y=2bm
Multiply the terms
y=2bm
Rewrite the expression
y=2mb
Swap the sides of the equation
2mb=y
Cross multiply
mb=2y
Divide both sides
mmb=m2y
Solution
b=m2y
Show Solution
