Question
Function
Find the first partial derivative with respect to l
Find the first partial derivative with respect to d
∂l∂b=4πd2
Evaluate
b=4lπd2
Multiply the terms
More Steps

Evaluate
4lπd2
Multiply the terms
More Steps

Multiply the terms
4lπ
Multiply the terms
4lπ
Use the commutative property to reorder the terms
4πl
4πld2
Multiply the terms
4πld2
b=4πld2
Find the first partial derivative by treating the variable d as a constant and differentiating with respect to l
∂l∂b=∂l∂(4πld2)
Use differentiation rules
∂l∂b=41×∂l∂(πld2)
Calculate the derivative
More Steps

Evaluate
∂l∂(πld2)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
πd2×∂l∂(l)
Use ∂x∂xn=nxn−1 to find derivative
πd2×1
Multiply the terms
πd2
∂l∂b=41πd2
Solution
∂l∂b=4πd2
Show Solution

Solve the equation
Solve for b
Solve for d
Solve for l
b=4πld2
Evaluate
b=4lπd2
Solution
More Steps

Evaluate
4lπd2
Multiply the terms
More Steps

Multiply the terms
4lπ
Multiply the terms
4lπ
Use the commutative property to reorder the terms
4πl
4πld2
Multiply the terms
4πld2
b=4πld2
Show Solution
