LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
19 views
in Calculus by (54.3k points)
closed by

Find second derivative of function f(x) = 4x-6


1. 172x-8
2. -168x-8
3. 168x-8
4. -24x-7

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 3 : 168x-8

Concept:

\(\rm \frac{\mathrm{d} (x^n)}{\mathrm{d} x} = nx^{n - 1}\)

Calculation:

Given function f(x) = 4x-6

Now; f'(x) = \(\rm \frac{\mathrm{d} (4x^{-6})}{\mathrm{d} x}\)

= 4 × (-6)x(-6 - 1)

f'(x)= -24x-7

Again; differentiation with respect to x

f"(x) = -24 × (-7)x(-7 - 1)

= 168x-8

 The required value is 168x-8.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...