Rules for Differentiation

Day 2 – Calculus 9/29

Warm-up - 2.2 day 2

• Quiz #1

Find the derivative

𝑓 (𝑥 )=3 𝑥(𝑥2− 2𝑥 )

𝑓 (𝑥 )=(3 𝑥2−5𝑥 )(𝑥2+2)Find

𝑓 (𝑥 )=2 𝑥2−3 𝑥+1𝑥

𝑓 (𝑥 )=−6 𝑥3+3𝑥2−2𝑥+1

𝑥2

• Find

Find the equation of the tangent line

• Function: point: (-1, -2)

Find the equation of the tangent line

• Function: point: (-1, 2)

Determine the point(s), if any, at which the graph of the function has a horizontal tangent line

𝑦=𝑥3+3 𝑥2

𝑓 (𝑥 )=𝑥2+2 𝑥Determine the point(s), if any, at which the graph

of the function has a horizontal tangent line