Differentiation - including trigonometric functions

Differentiation - including trigonometric functions

11th - 12th Grade

22 Qs

quiz-placeholder

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Differentiation - including trigonometric functions

Differentiation - including trigonometric functions

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Medium

CCSS
HSA.APR.D.6, HSF.BF.B.5, HSA.APR.D.7

Standards-aligned

Created by

Harry Williams

Used 57+ times

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22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the derivative of

sinx\sin x

sinx-\sin x

cosecxcotx-\operatorname{cosec}x\cot x

sec2x\sec2x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the derivative of

cosecxcotx\operatorname{cosec}x\cot x

secxtanx\sec x\tan x

sec2x\sec^2x

cosecxcotx-\operatorname{cosec}x\cot x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The derivative of  xcos2xx\cos2x  

 2xsin2x+cos2x2x\sin2x+\cos2x   

  2xsin2x+cos2x-2x\sin2x+\cos2x  

 cos2x+4sin2x\cos2x+4\sin2x  

 2xcos2x2x\cos2x  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 Find  dydx\frac{\text{d}y}{\text{d}x}   of y = ln (6x+1)

 16x+1\frac{1}{6x+1}  

 66x+1\frac{6}{6x+1}  

 16x\frac{1}{6x}  

6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 Find dy/dx for  y=e6xy=e^{6x}  

 e6xe^{6x}  

 6e6x6e^{6x}  

 e6x1e^{6x-1}  

 6xe6x16xe^{6x-1}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 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

30 sec • 1 pt

Find  dydx\frac{dy}{dx}  for  y=ln(2x+112x)y=\ln\left(\frac{2x+1}{1-2x}\right)  .

 22x+1212x\frac{2}{2x+1}-\frac{2}{1-2x}  

 22x+1+212x\frac{2}{2x+1}+\frac{2}{1-2x}  

 22x1+212x\frac{2}{2x-1}+\frac{2}{1-2x}  

 22x+1+21+2x\frac{2}{2x+1}+\frac{2}{1+2x}  

Tags

CCSS.HSF.BF.B.5

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