Question

If P = a2

b

3

cd1/2 and the percentage error in a,b,c and d

are 1%,2%,3% and 4% respectively. Find percentage error in P.​

Answer 1

Answer:

Given x=

c

1/2

d

1/2

a

3

b

2

On taking log and differentiating, we get

x

Δx

=3

a

Δa

+2

b

Δb

+(

2

1

)

c

Δc

+(

2

1

)

d

Δd

⇒ Percentage error in x=3(1)+2(3)+

2

1

(4)+

2

1

(2)=12%

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