What Did The Circle Say To The Tangent Line?

17 Questions | Total Attempts: 105

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What Did The Circle Say To The Tangent Line?

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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