Solve 2x-3y^4z=8 - ScanMath

Evaluate

2 x - 3 y^{4} z = 8

Find \frac{\partial z}{\partial x} by taking the derivative of both sides with respect to x

\frac{\partial}{\partial x} (2 x - 3 y^{4} z) = \frac{\partial}{\partial x} (8)

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}{\partial x} (2 x) - \frac{\partial}{\partial x} (3 y^{4} z) = \frac{\partial}{\partial x} (8)

Evaluate

More Steps

2 - \frac{\partial}{\partial x} (3 y^{4} z) = \frac{\partial}{\partial x} (8)

Evaluate

More Steps

2 - 3 y^{4} \frac{\partial z}{\partial x} = \frac{\partial}{\partial x} (8)

Find the partial derivative

2 - 3 y^{4} \frac{\partial z}{\partial x} = 0

Move the constant to the right-hand side and change its sign

- 3 y^{4} \frac{\partial z}{\partial x} = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

- 3 y^{4} \frac{\partial z}{\partial x} = - 2

Divide both sides

\frac{- 3 y ^{4} \frac{\partial z}{\partial x}}{- 3 y ^{4}} = \frac{- 2}{- 3 y ^{4}}

Divide the numbers

\frac{\partial z}{\partial x} = \frac{- 2}{- 3 y ^{4}}

Solution

\frac{\partial z}{\partial x} = \frac{2}{3 y ^{4}}

Solve the equation