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Chain Rule, Log Differentiation & Rate of Change · Question 16 of 130

Question 16

MediumOriginal question

If f(x)=x2+9f(x) = \sqrt{x^{2} + 9}, what is f′(4)f'\left(4\right)?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. f′(x)=2x2x2+9=xx2+9f'(x) = \frac{2x}{2\sqrt{x^{2} + 9}} = \frac{x}{\sqrt{x^{2} + 9}}.

  2. At 4: 45\frac{4}{5}.

Worth noting

110\frac{1}{10} is 1225\frac{1}{2\sqrt{25}}, without the inner 2x=82x = 8.

Concept
The chain rule at a point
Typical time
90 s
Your time
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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.