d
(d) \(a = {b^\alpha }\,{c^\beta }/{d^\gamma }\,{e^\delta }\)

So maximum error in a is given by

\({\left( {\frac{{\Delta a}}{a} \times 100} \right)_{\max }} = \alpha \,.\,\frac{{\Delta b}}{b} \times 100 + \beta \,.\,\frac{{\Delta c}}{c} \times 100\) \( + \gamma \,.\,\frac{{\Delta d}}{d} \times 100 + \delta \,.\,\frac{{\Delta e}}{e} \times 100\)

\( = \left( {\alpha {b_1} + \beta {c_1} + \gamma {d_1} + \delta {e_1}} \right)\% \)