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Chain Rule, Log Differentiation & Rate of Change · Question 2 of 130

Question 2

EasyOriginal question

If f(x)=(2x+1)5f(x) = \left(2 x + 1\right)^{5}, what is f′(0)f'\left(0\right)?

Options for question 2

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. f′(x)=5(2x+1)4⋅2=10(2x+1)4f'(x) = 5(2x + 1)^{4} \cdot 2 = 10(2x + 1)^{4}.

  2. f′(0)=10f'(0) = 10.

Worth noting

5 forgets the factor 2 from the inside.

Concept
The chain rule at a point
Typical time
60 s
Your time
—
The rule this testsThe chain rule
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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.