Question
Function
Find the first partial derivative with respect to p
Find the first partial derivative with respect to h
∂p∂w=21
Simplify
w=2p−h
Find the first partial derivative by treating the variable h as a constant and differentiating with respect to p
∂p∂w=∂p∂(2p−h)
Use differentiation rule ∂x∂(f(x)±g(x))=∂x∂(f(x))±∂x∂(g(x))
∂p∂w=∂p∂(2p)−∂p∂(h)
Evaluate
More Steps

Evaluate
∂p∂(2p)
Use differentiation rules
21×∂p∂(p)
Use ∂x∂xn=nxn−1 to find derivative
21×1
Calculate
21
∂p∂w=21−∂p∂(h)
Use ∂x∂(c)=0 to find derivative
∂p∂w=21−0
Solution
∂p∂w=21
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Solve the equation
Solve for h
Solve for p
Solve for w
h=2−2w+p
Evaluate
w=2p−h
Swap the sides of the equation
2p−h=w
Move the expression to the right-hand side and change its sign
−h=w−2p
Subtract the terms
More Steps

Evaluate
w−2p
Reduce fractions to a common denominator
2w×2−2p
Write all numerators above the common denominator
2w×2−p
Use the commutative property to reorder the terms
22w−p
−h=22w−p
Solution
h=2−2w+p
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