Solve u = -df/ds - ScanMath

Evaluate

u = - d \times \frac{f}{d} \times s

Multiply the terms

More Steps

u = - f s

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

\frac{\partial u}{\partial f} = \frac{\partial}{\partial f} (- f s)

Use differentiation rule \frac{\partial}{\partial x} (c f (x)) = c \times \frac{\partial}{\partial x} (f (x))

\frac{\partial u}{\partial f} = - s \times \frac{\partial}{\partial f} (f)

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

\frac{\partial u}{\partial f} = - s \times 1

Solution

\frac{\partial u}{\partial f} = - s

Function