Solve a=3x+2y+6xy

Simplify

a = 3 x + 2 y + 6 x y

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

\frac{\partial a}{\partial x} = \frac{\partial}{\partial x} (3 x + 2 y + 6 x y)

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 a}{\partial x} = \frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (2 y) + \frac{\partial}{\partial x} (6 x y)

Evaluate

More Steps

\frac{\partial a}{\partial x} = 3 + \frac{\partial}{\partial x} (2 y) + \frac{\partial}{\partial x} (6 x y)

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

\frac{\partial a}{\partial x} = 3 + 0 + \frac{\partial}{\partial x} (6 x y)

Evaluate

More Steps

\frac{\partial a}{\partial x} = 3 + 0 + 6 y

Solution

\frac{\partial a}{\partial x} = 3 + 6 y

Function