Solve a=(b1 b^2)h/2

Evaluate

a = (b \times 1 \times b^{2}) \times \frac{h}{2}

Remove the parentheses

a = b \times 1 \times b^{2} \times \frac{h}{2}

Multiply the terms

More Steps

a = \frac{b ^{3} h}{2}

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

\frac{\partial a}{\partial b} = \frac{\partial}{\partial b} (\frac{b ^{3} h}{2})

Use differentiation rules

\frac{\partial a}{\partial b} = \frac{1}{2} \times \frac{\partial}{\partial b} (b^{3} h)

Calculate the derivative

More Steps

\frac{\partial a}{\partial b} = \frac{1}{2} \times 3 b^{2} h

Solution

\frac{\partial a}{\partial b} = \frac{3}{2} b^{2} h

Function