Solve t = b1-beta

Evaluate

t = b \times 1 - β

Any expression multiplied by 1 remains the same

t = b - β

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

\frac{\partial t}{\partial b} = \frac{\partial}{\partial b} (b - β)

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 t}{\partial b} = \frac{\partial}{\partial b} (b) - \frac{\partial}{\partial b} (β)

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

\frac{\partial t}{\partial b} = 1 - \frac{\partial}{\partial b} (β)

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

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

Solution

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

Function