Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to b
Find the first partial derivative with respect to a
∂b∂h=−21a
Evaluate
h=−2ba
Multiply the terms
h=−2ba
Find the first partial derivative by treating the variable a as a constant and differentiating with respect to b
∂b∂h=∂b∂(−2ba)
Use differentiation rules
∂b∂h=−21×∂b∂(ba)
Solution
More Steps
Evaluate
∂b∂(ba)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
a×∂b∂(b)
Use ∂x∂xn=nxn−1 to find derivative
a×1
Multiply the terms
a
∂b∂h=−21a
Show Solution
Solve the equation
Solve for a
Solve for b
Solve for h
a=−b2h
Evaluate
h=−2ba
Multiply the terms
h=−2ba
Swap the sides of the equation
−2ba=h
Rewrite the expression
2−ba=h
Cross multiply
−ba=2h
Divide both sides
−b−ba=−b2h
Divide the numbers
a=−b2h
Solution
a=−b2h
Show Solution