Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Calculus - Differentiation - the Product Rule.
Test Yourself 1 - Solutions.


 

 

Remember: 1. Write the terms in order.
  2. Write the derivatives under.
  3. Start with the top right term and cross-multiply.
  4. Write down a + sign.
  5. Continue starting with the top right term and cross-multiply.
  6. Tidy up to make result look beautiful.

 

1. y = 3x4 (2x - 5)

Either: expand

or do the product rule:

 

 2.

Either: expand

or do the product rule:
3. y = x (2x + 4)4

4. s = t3 (3t + 1)3

or combine the two terms:

s=(3t2 + t)3
5. Q5A 6.
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