What Did The Circle Say To The Tangent Line?
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Choose and remember the correct letter for each problem and answer the question at the end of the quiz.
- 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.Find dy/dx for (3x+x2 )(2+3x)
- A.
(a) 9x²+22x+3
- B.
(e) 6x+22
- C.
(o) 9x²+22x+6
- 4.Find the horizontal tangent of the curve x2+6x+9
- A.
(p) -3
- B.
(space) 3
- C.
(t) 2
- 5.Find dy/dx for sin (3x)
- A.
(s) 3 -cos x
- B.
(space) 3 cos x(3x)
- C.
(a) 3-sinx(2x)
- 6.Use implicit differentiation to find dy/dx: 3x2+5y3=11
- A.
(t) (-6x)/(15y²)
- B.
(d)(-3x)/(15y)
- C.
(c) (-2x)/(5y²)
- 7.Find dy/dx for (5x)(x+5)
- A.
(a) x+5
- B.
(i) 5x+10
- C.
(o) 10x+25
- 8.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)
- 9.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)
- 10.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
- 11.Find dy/dx for tan x (5x+4)
- A.
(f) sin(25x+20)
- B.
(i)-5sin (5x+4)
- C.
(o) 5cos(5x+4)
- 12.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)
- 13.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
- 14.Use implicit differentiation to find dy/dx: 2x3-3y2=3
- A.
(space) (x²)/(y)
- B.
(u) (6x)/(6)
- C.
(c) (6x²)/(12)
- 15.Find dy/dx for 5x
- A.
(m) right
- B.
(c) wrong
- C.
(t) wrong
- 16.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)
- 17.What did the Circle Say to the Tangent line?
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