EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Chain Rule, Log Differentiation & Rate of Change · Question 6 of 130

Question 6

EasyOriginal question

If f(x)=(x2+1)3f(x) = \left(x^{2} + 1\right)^{3}, what is f′(1)f'\left(1\right)?

Options for question 6

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. f′(x)=3(x2+1)2⋅2xf'(x) = 3(x^{2} + 1)^{2} \cdot 2x.

  2. At 1: 3×4×2=243 \times 4 \times 2 = 24.

Worth noting

12 forgets the inner factor 2x=22x = 2.

Concept
The chain rule at a point
Typical time
60 s
Your time
—
The rule this testsThe chain rule
Practise this chapter →

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.

Practise this chapter →

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.