Home
Class 12
MATHS
If f(x)=3x^2+15 x+5,then the approximat...

If `f(x)=3x^2+15 x+5,`then the approximate value of `f (3. 02)`is(A) 47.66 (B) 57.66 (C) 67.66 (D) 77.66

A

`47.66`

B

`57.66`

C

`67.66`

D

`77.66`

Text Solution

Verified by Experts

The correct Answer is:
D
`f(x) = 3x^(2) + 15x + 5`
` rArr f'(x) = 6x+15`
Let` x = 3 and h = 0.02`
Now `f(x+h) = f(x) + hf'(x)`
` rArr f(3.02) = f(x) + hf'(x)`
` = (3 xx3^(2)+15 xx 3 + 5)`
`+ 0.02 xx(6 xx3 + 15)`
` = 77 + 0.66 = 77.66` .
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6.5|29 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|24 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6.3|27 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If f(x)=3x^(2)+4x-1 , then find the approximate value of f(3.1) .

If f(x) = 2x^(2)+5x+2 , then find the approximate value of f(2.01) .

Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

Find the approximate value of f(3.01) when y = f(x) = x^(2)+3x+1 .

Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

Find the approximate value of f(5. 001) , where f(x)=x^3-7x^2+15 .

Using differentials, find the approximate value of (66)^(1//3)