Question

The value of 3√ – 33 is​

Answer 1

Answer:

f(x)=x

1/5

=(32+1)

1/5

Here, a=32,h=

5

1

∴f(a+b)=f(a)+hf

′

(a)

∴(32+1)

1/5

=32

1/5

+

5

1

×

32

4/5

1

=2+

80

1

=2+0.0125=2.0125

Answer 2

(33)

1/5

=(32+1)

1/5

Let y=f(x)=x

1/5

⇒y+Δy=(x+Δx)

1/5

⇒Δy=(x+Δx)

1/5

−x

1/5

Also, Δy=f

′

(x)Δx

⇒(x+Δx)

1/5

−x

1/5

=

5

1

x

−4/5

Δx

Put x=32,Δx=1

(33)

1/5

−(32)

1/5

=

5

1

(2)

−4

(1)

⇒(33)

1/5

=2+0.0125=2.0125