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

Evaluate
∂a∂(ac)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
c×∂a∂(a)
Use ∂x∂xn=nxn−1 to find derivative
c×1
Multiply the terms
c
∂a∂h=21c
Show Solution

Solve the equation
Solve for a
Solve for c
Solve for h
a=c2h
Evaluate
h=a×2c
Multiply the terms
h=2ac
Rewrite the expression
h=2ca
Swap the sides of the equation
2ca=h
Cross multiply
ca=2h
Divide both sides
cca=c2h
Solution
a=c2h
Show Solution
