Solve x=8a(b 9) - ScanMath

Evaluate

x = 8 a (b \times 9)

Remove the parentheses

x = 8 ab \times 9

Multiply the terms

x = 72 ab

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

\frac{\partial x}{\partial a} = \frac{\partial}{\partial a} (72 ab)

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

\frac{\partial x}{\partial a} = 72 b \times \frac{\partial}{\partial a} (a)

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

\frac{\partial x}{\partial a} = 72 b \times 1

Solution

\frac{\partial x}{\partial a} = 72 b

Function