Question
Function
Find the first partial derivative with respect to c
Find the first partial derivative with respect to s
∂c∂a=s
Evaluate
1×a=(1×1c)s
Remove the parentheses
1×a=1×1cs
Any expression multiplied by 1 remains the same
a=1×1cs
Simplify
More Steps

Evaluate
1×1cs
Divide the terms
1×cs
Multiply the terms
cs
a=cs
Find the first partial derivative by treating the variable s as a constant and differentiating with respect to c
∂c∂a=∂c∂(cs)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂c∂a=s×∂c∂(c)
Use ∂x∂xn=nxn−1 to find derivative
∂c∂a=s×1
Solution
∂c∂a=s
Show Solution

Solve the equation
Solve for a
Solve for c
Solve for s
a=cs
Evaluate
1×a=(1×1c)s
Remove the parentheses
1×a=1×1cs
Any expression multiplied by 1 remains the same
a=1×1cs
Solution
More Steps

Evaluate
1×1cs
Divide the terms
1×cs
Multiply the terms
cs
a=cs
Show Solution
