Question
t=sd
Function
Find the first partial derivative with respect to d
Find the first partial derivative with respect to s
∂d∂t=s1
Simplify
t=sd
Find the first partial derivative by treating the variable s as a constant and differentiating with respect to d
∂d∂t=∂d∂(sd)
Use differentiation rule ∂x∂(g(x)f(x))=(g(x))2∂x∂(f(x))×g(x)−f(x)×∂x∂(g(x))
∂d∂t=s2∂d∂(d)s−d×∂d∂(s)
Use ∂x∂xn=nxn−1 to find derivative
∂d∂t=s21×s−d×∂d∂(s)
Use ∂x∂(c)=0 to find derivative
∂d∂t=s21×s−d×0
Any expression multiplied by 1 remains the same
∂d∂t=s2s−d×0
Any expression multiplied by 0 equals 0
∂d∂t=s2s−0
Removing 0 doesn't change the value,so remove it from the expression
∂d∂t=s2s
Solution
More Steps

Evaluate
s2s
Use the product rule aman=an−m to simplify the expression
s2−11
Reduce the fraction
s1
∂d∂t=s1
Show Solution

Solve the equation
Solve for d
Solve for s
d=st
Evaluate
t=sd
Swap the sides of the equation
sd=t
Solution
d=st
Show Solution
