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Integrals and Derivatives
Integrals and Derivatives
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Calculus Review of Integrals and Derivatives #calculus #review #integral #derivative
Flashcards
11 cards
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Questions
11
Answers
1
Solve
-1/2
2
ln(2)
ln(2) – 2
2
What is the slope of the tangent line to the graph of y=\ln\left(\frac{x}{2}\right) at x=4?
1/4
1/2
1/8
1
3
Solve
-3/4
-7/8
3/8
15/64
4
If f\left(x\right)=\frac{x-1}{x+1}, then f'\left(1\right)=
1/2
0
–1
–1/2
5
Solve
1/5
5
0
1
6
Solve
5\arctan x+C
5-\frac{5}{2}x+C
\frac{5}{2}x\ln(1+x^2)+C
-\frac{10x}{\left(1+x^2\right)^2}+C
7
Solve
\frac{3x}{\left(4+x^2\right)^2}
-\frac{3x}{\left(4+x^2\right)^2}
\frac{6x}{\left(4+x^2\right)^2}
-\frac{6x}{\left(4+x^2\right)^2}
8
Solve
\frac{\cos^2xy-y}{x}
\frac{\sec^2xy-y}{x}
\cos^2\left(xy\right)
\frac{\cos^2\left(xy\right)}{x}
9
If f\left(x\right)=x+\sin x, then f'\left(x\right)=
1 + cos(x)
cosx
sinx – cosx
1 – cos(x)
10
Find:
6cos(3x)
–2cos(3x)sin(3x)
–6sin(3x)cos(3x)
–2cos(3x)
11
Solve
\frac{-2}{\left(1-4x^2\right)^{\frac{1}{2}}}
\frac{2}{\left(1-4x^2\right)^{\frac{1}{2}}}
\frac{2}{\left(1-2x^2\right)^{\frac{1}{2}}}
\frac{-2}{\left(1-2x^2\right)^{\frac{1}{2}}}
