Derivatives 3 Step Process with Algebra

Authored by Greg Snelick

Mathematics

9th Grade

CCSS covered

Used 3+ times

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20 questions

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MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$f\left(x\right)=3x\left(x^2-6x+10\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 1

$3x^3-18x^2+30x$

Mathematical Equivalence

MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$f\left(x\right)=3x\left(x^2-6x+10\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 2

$9x^2-36x+30$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$f\left(x\right)=12x^2\ \left(4x^3-\frac{5x}{3}\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 1

$48x^5-20x^3$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$f\left(x\right)=12x^2\ \left(4x^3-\frac{5x}{3}\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 2

$240x^4-60x^2$

Mathematical Equivalence

OFF

DRAG AND DROP QUESTION

2 mins • 2 pts

$P\left(x\right)=9\left(2x+5\right)^2$
$ALG\ \ \ P\left(x\right)=9\cdot$ (a)
$RW\ \ \ P\left(x\right)=$ (b)
$DIF\ \ \ P'\left(x\right)=$ (c)
$SIM\ \ \ P'\left(x\right)=$ (d)

$\left(4x^2+20x+25\right)$

$36x^2+180x+225$

$72x+180$

4x^2+10x+25

36x^2+90x+225

72x+90

18\left(4x+5\right)

$36\left(2x+5\right)$

Derivative (3 Step Process)
$P\left(x\right)=6\left(x-4\right)^2$
$ALG\ \ \ P\left(x\right)=6\cdot$ EXP 1
$RW\ \ \ P\left(x\right)=$ EXP 2
$DIF\ \ P'\left(x\right)=$ EXP 3
$SIM\ \ \ P'\left(x\right)=$ EXP 4
Submit EXP 1

$\left(x^2-8x+16\right)$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$P\left(x\right)=6\left(x-4\right)^2$
$ALG\ \ \ P\left(x\right)=6\cdot$ EXP 1
$RW\ \ \ P\left(x\right)=$ EXP 2
$DIF\ \ P'\left(x\right)=$ EXP 3
$SIM\ \ \ P'\left(x\right)=$ EXP 4
Submit EXP 2

$6x^2-48x+96$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$P\left(x\right)=6\left(x-4\right)^2$
$ALG\ \ \ P\left(x\right)=6\cdot$ EXP 1
$RW\ \ \ P\left(x\right)=$ EXP 2
$DIF\ \ P'\left(x\right)=$ EXP 3
$SIM\ \ P'\left(x\right)=$ EXP 4
Submit EXP 3

$12x-48$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$P\left(x\right)=6\left(x-4\right)^2$
$ALG\ \ \ P\left(x\right)=6\cdot$ EXP 1
$RW\ \ \ P\left(x\right)=$ EXP 2
$DIF\ \ P'\left(x\right)=$ EXP 3
$SIM\ \ P'\left(x\right)=$ EXP 4
Submit EXP 4

$12\left(x-4\right)$

Mathematical Equivalence

OFF

10.

MATH RESPONSE QUESTION

2 mins • 2 pts

Derivative (3 Step Process)
$P\left(x\right)=5\left(3x+7\right)^2$
$ALG\ \ \ P\left(x\right)=5\cdot$ EXP 1
$RW\ \ \ P\left(x\right)=$ EXP 2
$DIF\ \ P'\left(x\right)=$ EXP 3
$SIM\ \ \ P'\left(x\right)=$ EXP 4
Submit EXP 1

$\left(9x^2+42x+49\right)$

Mathematical Equivalence

OFF

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Derivatives 3 Step Process with Algebra

Derivative (3 Step Process) f(x)=3x(x2−6x+10)f\left(x\right)=3x\left(x^2-6x+10\right)f(x)=3x(x2−6x+10) RW f(x)=RW\ \ \ f\left(x\right)=RW f(x)= EXP 1 DIF f ′(x)=DIF\ \ f\ '\left(x\right)=DIF f ′(x)= EXP 2Submit EXP 1

Derivative (3 Step Process) f(x)=3x(x2−6x+10)f\left(x\right)=3x\left(x^2-6x+10\right)f(x)=3x(x2−6x+10) RW f(x)=RW\ \ \ f\left(x\right)=RW f(x)= EXP 1 DIF f ′(x)=DIF\ \ f\ '\left(x\right)=DIF f ′(x)= EXP 2Submit EXP 2

Derivative (3 Step Process) f(x)=12x2 (4x3−5x3)f\left(x\right)=12x^2\ \left(4x^3-\frac{5x}{3}\right)f(x)=12x2 (4x3−35x​) RW f(x)=RW\ \ \ f\left(x\right)=RW f(x)= EXP 1 DIF f ′(x)=DIF\ \ f\ '\left(x\right)=DIF f ′(x)= EXP 2Submit EXP 1

Derivative (3 Step Process) f(x)=12x2 (4x3−5x3)f\left(x\right)=12x^2\ \left(4x^3-\frac{5x}{3}\right)f(x)=12x2 (4x3−35x​) RW f(x)=RW\ \ \ f\left(x\right)=RW f(x)= EXP 1 DIF f ′(x)=DIF\ \ f\ '\left(x\right)=DIF f ′(x)= EXP 2Submit EXP 2

P(x)=9(2x+5)2P\left(x\right)=9\left(2x+5\right)^2P(x)=9(2x+5)2 ALG P(x)=9⋅ALG\ \ \ P\left(x\right)=9\cdotALG P(x)=9⋅ ​ ​ (a) RW P(x)=RW\ \ \ P\left(x\right)=RW P(x)= ​ (b) DIF P′(x)=DIF\ \ \ P'\left(x\right)=DIF P′(x)= ​ (c) SIM P′(x)=SIM\ \ \ P'\left(x\right)=SIM P′(x)= ​ (d)

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Derivative (3 Step Process)
$f\left(x\right)=3x\left(x^2-6x+10\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 1

Derivative (3 Step Process)
$f\left(x\right)=3x\left(x^2-6x+10\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 2

Derivative (3 Step Process)
$f\left(x\right)=12x^2\ \left(4x^3-\frac{5x}{3}\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 1

Derivative (3 Step Process)
$f\left(x\right)=12x^2\ \left(4x^3-\frac{5x}{3}\right)$
$RW\ \ \ f\left(x\right)=$ EXP 1
$DIF\ \ f\ '\left(x\right)=$ EXP 2
Submit EXP 2

$P\left(x\right)=9\left(2x+5\right)^2$
$ALG\ \ \ P\left(x\right)=9\cdot$ (a)
$RW\ \ \ P\left(x\right)=$ (b)
$DIF\ \ \ P'\left(x\right)=$ (c)
$SIM\ \ \ P'\left(x\right)=$ (d)