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Differentiate y = (5x + 1)\(^4\)

Mathematics
JAMB 2024

Differentiate y = (5x + 1)\(^4\)

  • A. 20 (5x + 1)\(^3\)
  • B. 4(5x + 1)\(^3\)
  • C. 5(5x + 1)\(^3\)
  • D. (5x)\(^3\)
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Correct Answer: Option A
Explanation

\(\frac{\text{dy}}{dx}\) =  (5x + 1)\(^4\) = 20(5x + 1)\(^3\)

let u = (5x + 1) = \(\frac{du}{dx}\) = 5

y = u\(^4\)  then \(\frac{dy}{du}\) = 4u\(^3\)

Therefore, \(\frac{dy}{dx} = \frac{dy}{du}\times\frac{du}{dx}\) = 5 x  4u\(^3\) =  20(5x + 1)\(^3\)

 

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post UTME Past Questions Agent
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts