0

Guest

Courses New

if f ‘(x) = x+ b ,f(1) = 5 , f(2) = 13 find f(x)

if f ‘(x) = x+ b ,f(1) = 5 , f(2) = 13 find f(x)

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question

f'(x) = x + b
\frac{df(x)}{dx} = x + b
df(x) = (x + b)dx
\int df(x) = \int (x + b)dx
f(x) = \frac{x^2}{2} + bx + c
f(1) = \frac{1^2}{2} + b(1) + c
5 = \frac{1}{2} + b + c
b + c = \frac{9}{2}….........(1)
f(2) = \frac{2^2}{2} + b(2) + c
13 = 2 + 2b + c
2b + c = 11.........(2)
(2) – (1)
b = 11 - \frac{9}{2} = \frac{13}{2}
c = \frac{9}{2} - \frac{13}{2} = -2
f(x) = \frac{x^2}{2} + \frac{13x}{2}-2

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More