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Chain Rule, Log Differentiation & Rate of Change · Question 20 of 130

Question 20

MediumOriginal question

What is ddx(cos⁡(x))\frac{d}{dx}\left(\cos{\left(\sqrt{x} \right)}\right) for x>0x > 0?

Options for question 20

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. −sin⁡(x)⋅12x-\sin(\sqrt{x}) \cdot \frac{1}{2\sqrt{x}}.

  2. −sin⁡x2x-\frac{\sin\sqrt{x}}{2\sqrt{x}}.

Worth noting

−sin⁡x-\sin\sqrt{x} stops before the derivative of x\sqrt{x}.

Concept
The chain rule
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.