Question
Function
Find the first partial derivative with respect to j
Find the first partial derivative with respect to k
∂j∂m=−8
Evaluate
m=−8j−9k×9
Multiply the terms
m=−8j−81k
Find the first partial derivative by treating the variable k as a constant and differentiating with respect to j
∂j∂m=∂j∂(−8j−81k)
Use differentiation rule ∂x∂(f(x)±g(x))=∂x∂(f(x))±∂x∂(g(x))
∂j∂m=−∂j∂(8j)−∂j∂(81k)
Evaluate
More Steps

Evaluate
∂j∂(8j)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
8×∂j∂(j)
Use ∂x∂xn=nxn−1 to find derivative
8×1
Multiply the terms
8
∂j∂m=−8−∂j∂(81k)
Use ∂x∂(c)=0 to find derivative
∂j∂m=−8−0
Solution
∂j∂m=−8
Show Solution

Solve the equation
Solve for j
Solve for k
Solve for m
j=−8m+81k
Evaluate
m=−8j−9k×9
Multiply the terms
m=−8j−81k
Swap the sides of the equation
−8j−81k=m
Move the expression to the right-hand side and change its sign
−8j=m+81k
Change the signs on both sides of the equation
8j=−m−81k
Divide both sides
88j=8−m−81k
Divide the numbers
j=8−m−81k
Solution
j=−8m+81k
Show Solution
