Question

Use linear approximation to estimate (0.97)³ - 3(0.97)² without using a calculator.

Answer 1

we are given

we can assume function as

we can use linear approximation formula

we can plug a=1

we can find derivative

now, we can plug x=1

now, we can plug these values

now, we can plug x=0.97

so, we get

...........Answer