Solve l=t-v - ScanMath

Simplify

l = t - v

Find the first partial derivative by treating the variable v as a constant and differentiating with respect to t

\frac{\partial l}{\partial t} = \frac{\partial}{\partial t} (t - v)

Use differentiation rule \frac{\partial}{\partial x} (f (x) \pm g (x)) = \frac{\partial}{\partial x} (f (x)) \pm \frac{\partial}{\partial x} (g (x))

\frac{\partial l}{\partial t} = \frac{\partial}{\partial t} (t) - \frac{\partial}{\partial t} (v)

Use \frac{\partial}{\partial x} x^{n} = n x^{n - 1} to find derivative

\frac{\partial l}{\partial t} = 1 - \frac{\partial}{\partial t} (v)

Use \frac{\partial}{\partial x} (c) = 0 to find derivative

\frac{\partial l}{\partial t} = 1 - 0

Solution

\frac{\partial l}{\partial t} = 1

Function