Rawafed Private School Calculus Worksheet PDF

# Rawafed Private School - Calculus Worksheet ## Lesson 3-3: Product and Quotient Rules and Higher-Order Derivatives **Name:** **Grade:** 12 **Date:** --------/10/2022 ### Success Criteria - Find the derivative of a function using the product rule - Find the derivative of a function using the Quot...

# Rawafed Private School - Calculus Worksheet ## Lesson 3-3: Product and Quotient Rules and Higher-Order Derivatives **Name:** **Grade:** 12 **Date:** --------/10/2022 ### Success Criteria - Find the derivative of a function using the product rule - Find the derivative of a function using the Quotient rule - Find the derivative of a trigonometric function - Find a higher-order derivative of a function ### Warm-Up Find the derivative of each function 1. y = x³ – 5x + 2 2. y= 3x²- 5x³ + 2x -3 3. y= √(x²)³ 4. y = x² + 3sinx ### Answer all the questions by showing your detailed work: Find the derivative of each function 1. y = (3x - 2 )( 2x + 1) 3x sinx 2. y = 3. y = x²cosx (x² + 2)(x² -3) 4. y = 5. y= sinx cosx x² tanx 6. y = 7. y = x³ Inx √x (3x-1) 8. y = 3x-1 9. y= 5x+2 secx x 10. Y= y= x²-3 11. = Inx x²+2 x 12. y x²-3 13. y = 2 x 2x-3 sinx 14. y = ### Find an equation of the tangent line to the graph at the given point 15. y = ( x² + 4)(x-1) , (2,8) x-2 16. y = x-4 , (5,3) Π 17. y= 2 tanx , ( ,2) sinx + cosx (π, -1) 18. y = 2x ### Find the second derivative of the function 19. y = x5 - 3x3 + 2x - 5 3 cosx 20. y= 5sinx – 21. y = secx 22. y = x³ sinx ### Teacher's feedback - Met learning outcomes - Progressing towards learning outcome - Did not meet the learning outcome **Notes:**