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

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

Solve the equation
Solve for d
Solve for t
d=vt
Evaluate
v=dt
Swap the sides of the equation
dt=v
Cross multiply
t=dv
Simplify the equation
t=vd
Swap the sides of the equation
vd=t
Divide both sides
vvd=vt
Solution
d=vt
Show Solution
