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Differentiation

Authored by mohd brhannudin

Mathematics

5th Grade

CCSS covered

Used 173+ times

Differentiation
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Find  dydx\frac{dy}{dx}  for  2x−12x-1  .

 33  

 22  

 2−12^{-1}  

 202^0  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of  y=(2−3x)88y=\left(2-3x\right)^{88}  

 dydx=88(2−3x)87(−3)\frac{dy}{dx}=88\left(2-3x\right)^{87}\left(-3\right)  

 dydx=88(2−8x)87(−8)\frac{dy}{dx}=88\left(2-8x\right)^{87}\left(-8\right)  

 dydx=88(2−3x)88(−3)\frac{dy}{dx}=88\left(2-3x\right)^{88}\left(-3\right)  

 dydx=87(2−3x)87(−3)\frac{dy}{dx}=87\left(2-3x\right)^{87}\left(-3\right)  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find  dydx\frac{dy}{dx}  for  y=x5−3x3y=x^5-\frac{3}{x^3}  .

 5x3+9x45x^3+\frac{9}{x^4}  

 5x3+9x−45x^3+9x^{-4}  

 5x4+9x45x^4+\frac{9}{x^4}  

 5x4+9x−45x^4+\frac{9}{x^{-4}}  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find dydx\frac{dy}{dx}  for  y=(x+5)(2x−1)y=\left(x+5\right)\left(2x-1\right)  .

 9−4x9-4x  

 4x+94x+9  

 4x−94x-9  

 −4x−9-4x-9  

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find dydx\frac{dy}{dx}  for  y=3x2(5x+1)y=3x^2\left(5x+1\right)  by using product rule.

 45x2−6x45x^2-6x  

 45x2+6x−145x^2+6x^{-1}  

 45x+645x+6  

 45x2+6x45x^2+6x  

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find dydx\frac{dy}{dx}  for  y=3x+22x+1y=\frac{3x+2^{ }}{2x+1}  by using quotient rule.

 −1(2x+1)2-\frac{1}{\left(2x+1\right)^2}  

 1(2x+1)2\frac{1}{\left(2x+1\right)^2}  

 (2x+1)−2\left(2x+1\right)^{-2}  

 2x+12x+1  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find  d2ydx2\frac{d^2y}{dx^2}  for  y=x3(x2+5)y=x^3\left(x^2+5\right)  .

 5x4+15x25x^4+15x^2  

 5x4−15x25x^4-15x^2  

 20x3+30x20x^3+30x  

 20x3−30x20x^3-30x  

Tags

CCSS.HSA.APR.A.1

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