Question
Function
Find the first partial derivative with respect to p
Find the first partial derivative with respect to l
∂p∂w=1
Evaluate
w=p−(2×2l)
Multiply the terms
More Steps

Multiply the terms
2×2l
Cancel out the common factor 2
1×l
Multiply the terms
l
w=p−l
Find the first partial derivative by treating the variable l as a constant and differentiating with respect to p
∂p∂w=∂p∂(p−l)
Use differentiation rule ∂x∂(f(x)±g(x))=∂x∂(f(x))±∂x∂(g(x))
∂p∂w=∂p∂(p)−∂p∂(l)
Use ∂x∂xn=nxn−1 to find derivative
∂p∂w=1−∂p∂(l)
Use ∂x∂(c)=0 to find derivative
∂p∂w=1−0
Solution
∂p∂w=1
Show Solution

Solve the equation
Solve for l
Solve for p
Solve for w
l=−w+p
Evaluate
w=p−(2×2l)
Multiply the terms
More Steps

Multiply the terms
2×2l
Cancel out the common factor 2
1×l
Multiply the terms
l
w=p−l
Swap the sides of the equation
p−l=w
Move the expression to the right-hand side and change its sign
−l=w−p
Solution
l=−w+p
Show Solution
