Solve k = c d10^2

Evaluate

k = c d \times 1 0^{2}

Use the commutative property to reorder the terms

k = 1 0^{2} c d

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

\frac{\partial k}{\partial c} = \frac{\partial}{\partial c} (1 0^{2} c d)

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

\frac{\partial k}{\partial c} = 1 0^{2} d \times \frac{\partial}{\partial c} (c)

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

\frac{\partial k}{\partial c} = 1 0^{2} d \times 1

Solution

\frac{\partial k}{\partial c} = 1 0^{2} d

Function