Solve a=1/2(b1 b^2)h

Evaluate

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

Remove the parentheses

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

Multiply the terms

More Steps

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

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{1}{2} b^{3} h)

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

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

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

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

Solution

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

Function