Question
Function
Find the first partial derivative with respect to b
Find the first partial derivative with respect to h
∂b∂a=h
Evaluate
a=(b+b)×2h
Simplify
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Evaluate
(b+b)×2h
Add the terms
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Evaluate
b+b
Collect like terms by calculating the sum or difference of their coefficients
(1+1)b
Add the numbers
2b
2b×2h
Cancel out the common factor 2
bh
a=bh
Find the first partial derivative by treating the variable h as a constant and differentiating with respect to b
∂b∂a=∂b∂(bh)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂b∂a=h×∂b∂(b)
Use ∂x∂xn=nxn−1 to find derivative
∂b∂a=h×1
Solution
∂b∂a=h
Show Solution

Solve the equation
Solve for a
Solve for b
Solve for h
a=bh
Evaluate
a=(b+b)×2h
Solution
More Steps

Evaluate
(b+b)×2h
Add the terms
More Steps

Evaluate
b+b
Collect like terms by calculating the sum or difference of their coefficients
(1+1)b
Add the numbers
2b
2b×2h
Cancel out the common factor 2
bh
a=bh
Show Solution
