What Did The Circle Say To The Tangent Line?

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What Did The Circle Say To The Tangent Line? - Quiz

Choose and remember the correct letter for each problem and answer the question at the end of the quiz.


Questions and Answers
  • 1. 
    Find dy/dx for x⁷+x⁵+x(-³)
    • A. 

      (t) 7x⁶+5x⁴-3x(-⁵) )

    • B. 

      (s) 7x⁶+5x⁴-3x(-⁴)

    • C. 

      (d) x⁷+5x⁴-3x(-²)

  • 2. 
    Find dy/dx for (2x2 +x)/(x-4)
    • A. 

      (t) (2x²-16x-4)/(x-4)²

    • B. 

      (e) (x²-8x-4)/(x-4)

    • C. 

      (h)(2x²-16x-2)/(x-2)

  • 3. 
    Use implicit differentiation to find dy/dx: 4y2= cos y +x3
    • A. 

      (h) (cos x)/(5x⁴)

    • B. 

      (r) (sin y + 8y)/(5x⁴)

    • C. 

      (e)(5x⁴)/(sin y + 8y)

  • 4. 
    Find dy/dx for 5x
    • A. 

      (m) right

    • B. 

      (c) wrong

    • C. 

      (t) wrong

  • 5. 
    Use implicit differentiation to find dy/dx: 2x3-3y2=3
    • A. 

      (space) (x²)/(y)

    • B. 

      (u) (6x)/(6)

    • C. 

      (c) (6x²)/(12)

  • 6. 
    Find dy/dx for sec2x
    • A. 

      (m) sec² x tan x

    • B. 

      (space) 2 tan² x sec x

    • C. 

      (g) 2 sec² x tan x

  • 7. 
    Differentiate y=(6x⁴+11)⁶(-3x-5)
    • A. 

      (t) 6(28x³+11) +(-3x-5)

    • B. 

      (r) -3(-3x-5)+6(6x⁴+11)

    • C. 

      (n) -3(6x⁴+11)⁶+6(6x⁴+11)⁵(-3x-5)

  • 8. 
    Find dy/dx for tan x (5x+4)
    • A. 

      (f) sin(25x+20)

    • B. 

      (i)-5sin (5x+4)

    • C. 

      (o) 5cos(5x+4)

  • 9. 
    Find dy/dx for (2x⁴+x)/(x+3)
    • A. 

      (h) (6x⁴+24x³+3)/(x+3)²

    • B. 

      (a) (6x³+6x²+3)/(x+2)

    • C. 

      (t) (6x⁴+24x²+1)/(x+3)²

  • 10. 
    Find dy/dx using Logarithmic Differentiation y=x^sinx
    • A. 

      (f) cos x + sin x

    • B. 

      (c) x^(sin x)(sin x/x + sin xcos x)

    • C. 

      (e) (sin x/x + sin x)

  • 11. 
    Find dy/dx for cos x (2x2)
    • A. 

      (c) -sin x (2x)(4)

    • B. 

      (m) -cos x (2x²)(4x)

    • C. 

      (u) -sin x (2x²)(4x)

  • 12. 
    Find dy/dx for (5x)(x+5)
    • A. 

      (a) x+5

    • B. 

      (i) 5x+10

    • C. 

      (o) 10x+25

  • 13. 
    Use implicit differentiation to find dy/dx: 3x2+5y3=11
    • A. 

      (t) (-6x)/(15y²)

    • B. 

      (d)(-3x)/(15y)

    • C. 

      (c) (-2x)/(5y²)

  • 14. 
    Find dy/dx for sin (3x)
    • A. 

      (s) 3 -cos x

    • B. 

      (space) 3 cos x(3x)

    • C. 

      (a) 3-sinx(2x)

  • 15. 
    Find the horizontal tangent of the curve x2+6x+9
    • A. 

      (p) -3

    • B. 

      (space) 3

    • C. 

      (t) 2

  • 16. 
    Find dy/dx for (3x+x2 )(2+3x)
    • A. 

      (a) 9x²+22x+3

    • B. 

      (e) 6x+22

    • C. 

      (o) 9x²+22x+6

  • 17. 
    What did the Circle Say to the Tangent line?

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