Question
Function
Find the first partial derivative with respect to p
Find the first partial derivative with respect to d
∂p∂f=d1
Simplify
f=dp
Find the first partial derivative by treating the variable d as a constant and differentiating with respect to p
∂p∂f=∂p∂(dp)
Use differentiation rule ∂x∂(g(x)f(x))=(g(x))2∂x∂(f(x))×g(x)−f(x)×∂x∂(g(x))
∂p∂f=d2∂p∂(p)d−p×∂p∂(d)
Use ∂x∂xn=nxn−1 to find derivative
∂p∂f=d21×d−p×∂p∂(d)
Use ∂x∂(c)=0 to find derivative
∂p∂f=d21×d−p×0
Any expression multiplied by 1 remains the same
∂p∂f=d2d−p×0
Any expression multiplied by 0 equals 0
∂p∂f=d2d−0
Removing 0 doesn't change the value,so remove it from the expression
∂p∂f=d2d
Solution
More Steps

Evaluate
d2d
Use the product rule aman=an−m to simplify the expression
d2−11
Reduce the fraction
d1
∂p∂f=d1
Show Solution

Solve the equation
Solve for d
Solve for p
d=fp
Evaluate
f=dp
Swap the sides of the equation
dp=f
Cross multiply
p=df
Simplify the equation
p=fd
Swap the sides of the equation
fd=p
Divide both sides
ffd=fp
Solution
d=fp
Show Solution
