Home Library Explore SAT

Home Library Explore SAT

Calculus: Derivatives and Integrals Flashcards | StudBud

Explore/Calculus: Derivatives and Integrals

Calculus: Derivatives and Integrals

12 terms·StudBud Administration·51 plays

This quiz will students to review their derivative and integration skills.

Flashcards12 cardsFPractice quizPHost liveL

Questions 12

Answers

1
What is the derivative of function below?
12x cos(-3x2 + 2)2 sin(-3x2 +2)
-12x cos(-3x2 + 2)2
-12xcos(-3x2 + 2)2 sin(-3x2 + 2)2
12x (-3x2 + 2)sin(-3x2 + 2)2
2
What is the derivative of the function below?
f'\left(x\right)=6x\cos\left(3x^2\right)
f'\left(x\right)=-6x^2\cos\left(2x^3\right)
f'\left(x\right)=-6x\sin\left(2x^3\right)
f'\left(x\right)=6x^2\cos\left(2x^3\right)
3
What is the derivative of the function below?
\frac{dy}{dx}=24x^2\left(4x^3+5\right)e^{\left(4x^3+5\right)^2}
\frac{dy}{dx}=12e^{\left(4x^3+5\right)^2}
\frac{dy}{dx}=12xe^{\left(4x^3+5\right)^2}
\frac{dy}{dx}=12x^2\left(4x^3+5\right)e^{\left(4x^3+5\right)^2}
4
What is the 3rd derivative of the given function?
-24+(240/x6)
-12+(120/x6)
-24+(120/x6)
-12 +(240/x6)
5
What is the solution to ∫(1/x)/(lnx) dx?
x-2/-2
\ln|\ln x|+C
\ln|\frac{1}{x}|
\ln|x|
6
What is the solution to ∫secx tanx dx ?
cotx + C
secx+ C
tanx + C
cscx + C
7
What is the solution to the integral below?
-5sinx + C
5cosx + C
5sinx + C
-5cosx + C
8
What is the derivative of the function below?
f'(x)=5x4 cos3(x5)
f'(x)= 15x4 sin2(x5) cos(x5)
f'(x)= 15x4 sin(x5) cos2(x5)
f'(x)=15x4 sin2(x5)
9
What is the solution to the integral below?
3 tanx
3 cotx
3 secx tanx
3 cscx cotx
10
What is the solution to ∫8x(x²+5)³dx
x(x2+5)4
2(x2+5)4
(x2+5)4
24x(x2+ 5)3
11
What is the solution to the integral below?
-4x6 - 5x2 +C
-6x4 - 5x2 +C
4x6 +5x2 +C
-6x4 - 10x +C
12
What is the 99th derivative of the function below?
98!
100!
99!
97!