Solve a/1 =b/4 b/c-4/3

Evaluate

\frac{a}{1} = \frac{b}{4} \times \frac{b}{c} - \frac{4}{3}

Divide the terms

a = \frac{b}{4} \times \frac{b}{c} - \frac{4}{3}

Multiply the terms

More Steps

a = \frac{b ^{2}}{4 c} - \frac{4}{3}

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

\frac{\partial a}{\partial b} = \frac{\partial}{\partial b} (\frac{b ^{2}}{4 c} - \frac{4}{3})

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 b} = \frac{\partial}{\partial b} (\frac{b ^{2}}{4 c}) - \frac{\partial}{\partial b} (\frac{4}{3})

Evaluate

More Steps

\frac{\partial a}{\partial b} = \frac{b}{2 c} - \frac{\partial}{\partial b} (\frac{4}{3})

Evaluate

\frac{\partial a}{\partial b} = \frac{b}{2 c} - 0

Solution

\frac{\partial a}{\partial b} = \frac{b}{2 c}

Function