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AP Calculus Differentiation Practice Review

Prepare for calculus test on differentiation with topics including chain rule, trigonometric derivatives, implicit differentiation, and related rates. Practice differentiating functions and solving related rates problems. Utilize basic calculus rules and formulas for test readiness.

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AP Calculus Differentiation Practice Review

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  1. Chapter 4 Practice AP Calculus

  2. Differentiate:

  3. sec x tan x -csc x cot x Differentiate:

  4. To the nearest thousandth, calculate the slope of the tangent where x = 4:

  5. Differentiate implicitly: Find coordinates of y when x = 4 and substitute into dy/dx equation: To the nearest thousandth, calculate the slope of the tangent where x = 4:

  6. Be prepared for NO CALCULATOR section! • Basic chain rule, product rule, quotient rule • Basic trig derivatives • Inverse trig derivatives • Implicit differentiation • Use limits to find values to make a piecewise function differentiable (and continuous). • Related Rates Ch. 4 Test Review Topics

  7. Derivatives Practice

  8. = 35 sec 5x tan 5x = = Derivatives Practice

  9. Differentiate implicitly:

  10. Derivative: Differentiate implicitly:

  11. Cylinder Volume: V = Useful Related Rates Formulas

  12. Ch. 4 R Problems, pg. 180: R4 ad, R5a, R6, R8b, R9 (pretty hard) Additional Review • Online videos, PPTS • Examples from notes • 4.2 #1-15 odd, 4.3 1-19 odd • 4.4 1-25 odd, 4.5 13-23 odd Suggested Review

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