This prayer asks God for guidance through a new day of learning and to use the lessons to do good. It thanks God for life, another day, and new experiences and asks that through lessons, one can be an instrument for good in Jesus' name.

2. Heavenly Father,
Thank you for another life to enjoy,
another day to learn, and a new set
of things we will experience.
As we start this new day for new
learning, we ask for Your guidance.
As we go through our lessons today,
may let us be instruments to do good
things.
In Jesus’ name. Amen.

4. CHAIN RULE
Chain Rule for differentiation
If the function g is differentiable at x and the
function f is differentiable at g(x), then the
composite function f . G is differentiable at x,
and (𝑓 ∙ 𝑔)′
𝑥 = 𝑓′
(𝑔 𝑥 )𝑔′
(𝑥)

5. CHAIN RULE
𝑓 𝑥 = (10 − 5𝑥)4

6. CHAIN RULE
𝑑
𝑑𝑥
= (𝑥3
− 3𝑥2
+ 1)−3

7. CHAIN RULE
𝑓(𝑥) = (4𝑥2
− 4𝑥 + 2)3

8. CHAIN RULE
𝑓(𝑥) = (4𝑥 + 1)6