Chain Rule Day 1

Find the derivative

f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴

• f'(t) = 5(t² + 2t)⁴

• f'(t) = 5(t² + 2t)⁴(2t)

• f'(t) = 5(t² + 2t)⁴(2t + 2)

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 6x(x² + 1)²
• dy/dx = 2x(x² + 1)²

Tags

CCSS.HSF-IF.C.8B

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

Which of the following would you need to use CHAIN RULE to find the derivative?

• $y=5\left(3x^2-2x\right)^4$

• $y=f\left(x\right)\cdot g\left(x\right)$

• $y=\frac{x}{x^2+4}$

• $y=\frac{3}{\left(x+2\right)^2}$ (hint, how would you rewrite this first?)

• $y=f\left(\tan\left(x\right)\right)$

 Find the derivative of the following: $y=\left(\sin\left(3x+1\right)\right)^2$ 

• 6(sin(3x+1))cos(3x+1)

• -6(sin(3x+1))cos(3x+1)

• 2(sin(3x+1))cos(3x+1)

• -2(sin(3x+1))cos(3x+1)

What is your name?

Tags

CCSS.L.1.6

CCSS.L.3.6

On a scale of eh to great, how did you do with today's lesson?

• eh

• ok

• good

• great!

Tags

CCSS.RI. 9-10.10

CCSS.RI.11-12.10

CCSS.RI.8.10

CCSS.RL.11-12.10

CCSS.RL.9-10.10

Anything to tell me about today's lesson?