Question
Function
Find the first partial derivative with respect to l
Find the first partial derivative with respect to v
∂l∂t=v1
Simplify
t=vl
Find the first partial derivative by treating the variable v as a constant and differentiating with respect to l
∂l∂t=∂l∂(vl)
Use differentiation rule ∂x∂(g(x)f(x))=(g(x))2∂x∂(f(x))×g(x)−f(x)×∂x∂(g(x))
∂l∂t=v2∂l∂(l)v−l×∂l∂(v)
Use ∂x∂xn=nxn−1 to find derivative
∂l∂t=v21×v−l×∂l∂(v)
Use ∂x∂(c)=0 to find derivative
∂l∂t=v21×v−l×0
Any expression multiplied by 1 remains the same
∂l∂t=v2v−l×0
Any expression multiplied by 0 equals 0
∂l∂t=v2v−0
Removing 0 doesn't change the value,so remove it from the expression
∂l∂t=v2v
Solution
More Steps

Evaluate
v2v
Use the product rule aman=an−m to simplify the expression
v2−11
Reduce the fraction
v1
∂l∂t=v1
Show Solution

Solve the equation
Solve for l
Solve for v
l=tv
Evaluate
t=vl
Swap the sides of the equation
vl=t
Cross multiply
l=vt
Solution
l=tv
Show Solution
