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 19 of 130

Question 19

MediumOriginal question

What is ddx(sin⁡3x)\frac{d}{dx}\left(\sin^{3} x\right)?

Options for question 19

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Outside u3u^{3}, inside u=sin⁡xu = \sin x.

  2. 3sin⁡2x⋅cos⁡x3\sin^{2} x \cdot \cos x.

Worth noting

3sin⁡2x3\sin^{2} x leaves out the factor cos⁡x\cos x.

Concept
The chain rule
Typical time
90 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.