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

Evaluate

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

Any expression multiplied by 1 remains the same

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

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 + b^{2}))

Rewrite the expression

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

Use differentiation rules

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

Calculate the derivative

More Steps

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

Solution

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

Function