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Calculus Review - Joey DeMartyn

Total questions: 10

Worksheet time: 21mins

Name
Class
Date
1.

 ∫ 1x2dx\int_{ }^{ }\ \frac{1}{x^2}dx  

a)

 ln⁡x2+C\ln x^2+C  

b)

 −ln⁡x2+C-\ln x^2+C  

c)

 x−1+Cx^{-1}+C  

d)

 −x−1+C-x^{-1}+C  

2.

Differentiate  f(x)=6x3−9x+4f\left(x\right)=6x^3-9x+4  

a)

 f′(x)=18x2−9f'\left(x\right)=18x^2-9  

b)

 f′(x)=18x3−9x+4f'\left(x\right)=18x^3-9x+4  

c)

 f′(x)=−6x3+9x−4f'\left(x\right)=-6x^3+9x-4  

d)

 f′(x)=−18x2+9f'\left(x\right)=-18x^2+9  

3.

find f'(x) when f(x)=sin(x)+sec(x)

a)

f(x)=tan⁡(x)+sin⁡(x)f(x)=\tan(x)+\sin(x)

b)

f(x)=cos⁡(x)+sec⁡(x)tan⁡(x)f(x)=\cos(x)+\sec(x)\tan(x)

c)

f(x)=sec⁡(x)+sin⁡(x)f(x)=\sec(x)+\sin(x)

d)

f(x)=cos⁡(x)+sec⁡2(x)f\left(x\right)=\cos\left(x\right)+\sec^2\left(x\right)

4.

What rule is f'(g(x))g'(x)

a)

Quotient Rule

b)

Chain Rule

c)

Product Rule

5.

 Find the derivative of exFind\ the\ derivative\ of\ e^x  

a)

 00  

b)

 11  

c)

 exe^x  

d)

 ex2e^{x^2}  

6.

What does the derivative of the Velocity function find?

a)

Acceleration

b)

Position

c)

Velocity

d)

Absolutely nothing

7.

Derivative of ln(u)

a)

1u dudx\frac{1}{u}\ \frac{du}{dx}

b)

2ln⁡(u) dudx2\ln\left(u\right)\ \frac{du}{dx}

c)

ln⁡(u)2 dudx\ln\left(u\right)^2\ \frac{du}{dx}

d)

u dudxu\ \frac{du}{dx}

8.

Do you enjoy Calculus

a)

Yes

b)

No

c)

Eh

d)

Absolutely not

9.

How's your Coronacation going

a)

Good

b)

Bad

c)

Contempt

d)

The worst thing to ever exist

10.

If you are going to college, where are you going and what are you majoring in?

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