Free Printable venganza para esteban

1.

$\frac{d}{dx}\frac{\sqrt{x+1}}{\sqrt{x-1}}$

a)

$\frac{\sqrt{x-1}}{2\left(x-1\right)\sqrt{x+1}}-\frac{\sqrt{x+1}}{2x-2}$

b)

$\frac{1}{2x-\sqrt{x+1}}$

c)

$\frac{\sqrt{x}}{2\left(x-1\right)\sqrt{x+1}}-\frac{\sqrt{x+1}\sqrt{x-1}}{2x}$

d)

$\frac{1}{2\left(x-1\right)\sqrt{x+1}}-\sqrt{x+1}$

2.

$\int_{ }^{ }\left(t^2+3^t-1\right)dt$

a)

$\frac{t^3}{3}+\frac{3^t}{\ln3}-t\ +C$

b)

$\frac{t^2}{5}+\frac{2^t}{3}+t\ +C$

c)

$\frac{t^3}{2}+\frac{t}{3}+C$

d)

$t^3+\frac{\ln2}{\ln3}+C$

3.

$\frac{d}{dx}\sin\pi x-\tan\pi x$

a)

$\pi\left(\cos\pi x\ -\ \frac{1}{\cos^2\pi x}\right)$

b)

$\cos x\ -\ \frac{\pi}{\cos^2\pi x}$

c)

$\cos\pi x\ -\ \frac{\pi}{\cos^2x}$

d)

$\pi\left(\cos x\ -\ \frac{1}{\cos^2\pi x}\right)$

4.

$2^x=i$

a)

$\frac{i\pi}{\ln4}$

b)

$\frac{\pi}{\ln2}$

c)

$\frac{\ln4}{\pi\ +\ln2}$

d)

$i\pi\ln2$

5.

$\sum_{n=1}^{\infty}\frac{\left(-1\right)^n}{n!}$

a)

$\frac{1}{e}$

b)

$e^{-2}$

c)

$e^{\frac{1}{e}}$

d)

$e+\frac{1}{e}$

6.

$ab=a+b\ \left(Resuelve\ para\ a\ \ -\ Solve\ for\ a\right)$

a)

$a=\frac{b}{b-1}$

b)

$a=b^2-\frac{1}{b}$

c)

$a=\frac{b^2+b}{2}$

d)

$a=\frac{b+1}{b}$

7.

$\frac{d}{dx}\sin\left(x^2\right)+\cos\left(x^2\right)$

a)

$2x\left(\cos\left(x^2\right)-\sin\left(x^2\right)\right)$

b)

$2\cos\left(x\right)+2\sin\left(x^2\right)$

c)

$\cos\left(x^2\right)-3\sin\left(x^2\right)$

d)

$2\cos\left(x\right)-2\sin\left(x\right)$

8.

$\lim_{\theta\rightarrow0}\frac{\sin\theta}{\theta}$

a)

1

b)

0

c)

$\sin1$

d)

$\infty$

9.

$\int_{ }^{ }2\sin\left(t\right)-e^tdt$

a)

$-e^t-2\cos t+C$

b)

$e^t-\cos t+C$

c)

$e^t+2\sin t+C$

d)

$e-\sin t+C$

10.

$\lim_{x\rightarrow4}\frac{x^2+16}{x-4}$

a)

$8$

b)

$0$

c)

$7$

d)

$undefined$

venganza para esteban

Total questions: 10

Worksheet time: 23mins

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