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

Evaluate

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

Remove the parentheses

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

Multiply the terms

More Steps

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

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

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

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

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

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

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

Solution

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

Function