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

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

Solve the equation
Solve for x
Solve for q
Solve for y
x=y2q
Evaluate
q=x×2y
Multiply the terms
q=2xy
Rewrite the expression
q=2yx
Swap the sides of the equation
2yx=q
Cross multiply
yx=2q
Divide both sides
yyx=y2q
Solution
x=y2q
Show Solution
