Derivatives Worksheet, Exercises of Mathematics

Derivatives worksheet for practice

Typology: Exercises

2012/2013

Uploaded on 09/06/2025

tanvi-prabhu
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Derivatives Practice
Chain Rule
In each of the following, find the derivative of the function:
1.
𝑓(𝑡)= 1
4(𝑡2+8)
2.
𝐴(𝑠)= 12
𝑠5
3.
𝐹(𝑥) = ( 1
2𝑥)5
4.
𝐻(𝑥)=(𝑥+𝑥−1)3
5.
𝑓(𝑥)= 𝑥 𝑠𝑖𝑛(𝑥)
6.
𝑦=(1𝑥2)10
7.
𝑦=𝑐𝑜𝑠(𝑎3+𝑥3)

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Derivatives Practice Chain Rule In each of the following, find the derivative of the function:

  1. 𝑓(𝑡) = 1 4 (𝑡 2 + 8)
  2. 𝐴(𝑠) = − 12 𝑠^5
  3. 𝐹(𝑥) = ( 1 2 𝑥) 5
  4. 𝐻(𝑥) = (𝑥 + 𝑥 − ) 3
  5. 𝑓(𝑥) = 𝑥 𝑠𝑖𝑛(𝑥)
  6. 𝑦 = (1 − 𝑥 2 ) 10
  7. 𝑦 = 𝑐𝑜𝑠(𝑎 3 + 𝑥 3 )