Product & Quotient Rule

f(x)=x⁵cosx

• 5x⁴sinx-x⁵cosx

• 5x⁴cosx+x⁵sinx

• 5x⁴cosx-x⁵sinx

• 5x⁴sinx+x⁵cosx

2. f(x)= (5x-1)/(5x²+9x)

• [(25x²+45x)-(5x-1)(10x+9)]/(25x⁴+81x²)

• [(25x²+45x)-(5x-1)(10x+9)]/(25x⁴+90x³+81x²)

• [(5x-1)(10x+9)-(25x²+45x)]/(25x⁴+81x²)

• [(5x-1)(10x+9)-(25x²+45x)]/(25x⁴+90x³+81x²)

Tags

CCSS.HSA.APR.D.6

3. f(x)=-sinxcosx

• cos²x+sin²x

• 1

• -1

• -cos²x+sin²x

Tags

CCSS.HSF.TF.C.9

4. f(x)=x^1/2cosx

• 1/2x^-1/2cosx-x^1/2sinx

• 1/2x^-1/2cosx+x^1/2sinx

• 1/2x^1/2cosx+x^1/2sinx

• 1/2x^1/2cosx+x^-1/2sinx

5. f(x)=x⁵x^1/4

• 5x^17/4-x^17/4

• 5x^17/4+x^17/4

• 5x^17/4-x^17/4/4

• 5x^17/4+x^17/4/4

6. f(x)=(sinx)/(8x-5)

• [(8x-5)cosx-8sinx]/(64x²-80x+25)

• [(8x-5)cosx-8sinx]/(64x²-25)

• [(8x-5)cosx+8sinx]/(64x²-80x+25)

• [(8x-5)cosx-8sinx]/(64x²-25)

7. f(x)=(x²+1/x)(9x-x⁵)

• (2x-x^-2)(9x+x⁵)+(x²+x^-1)(9+5x⁴)

• (2x+x^-2)(9x-x⁵)+(x²+x^-1)(9-5x⁴)

• (2x-x^-2)(9x-x⁵)+(x²+x^-1)(9-5x⁴)

• (2x-x²)(9x-x⁵)+(x²+x^-1)(9-5x⁴)

Tags

CCSS.HSA.APR.C.4

8. f(x)=(6x³-x^1/2+12)/x¹⁰

• [(18x²-1/2x^-1/2)(10x⁹)-(6x³-x^-1/2+12)(x¹⁰)]/x²⁰

• [(18x²-1/2x^1/2)(x¹⁰)-(6x³-x^1/2+12)(10x⁹)]/x²⁰

• [(18x²-1/2x^-1/2)(10x⁹)-(6x³-x^1/2+12)(x¹⁰)]/x²⁰

• [(18x²-1/2x^-1/2)(x¹⁰)-(6x³-x^1/2+12)(10x⁹)]/x²⁰

9. f(x)=sinx/(x²+x+1)

• [(x²+x+1)cosx+(2x+1)sinx]/(x⁴+2x³+3x²+2x+1)

• [(x²+x+1)cosx-(2x+1)sinx]/(x⁴+2x³+3x²+2x+1)

• [(x²+x+1)cosx-(2x+1)sinx]/(x⁴+x²+1)

• [-(x²+x+1)cosx-(2x+1)sinx]/(x⁴+2x³+3x²+2x+1)

10. f(x)=(x³+x-2)/(x²+2)

• [(3x²+1)(x²+2)+(x³+x-2)(2x)]/(x⁴+2x²+4)

• [(3x²+1)(x²+2)-(x³+x-2)(2x)]/(x⁴+4)

• [(3x²+1)(x²+2)+(x³+x-2)(2x)]/(x⁴+4)

• [(3x²+1)(x²+2)-(x³+x-2)(2x)]/(x⁴+2x²+4)

Tags

CCSS.HSA.APR.D.6