Free Printable Quiz V

1.

$Find\ the\sec ond\ derivative\ of\ the\ equation\ x^{\frac{2}{3}}+2x+4$

a)

$-\frac{2}{9}x^{-\frac{4}{3}}$

b)

$-\frac{2}{9}x^{\frac{4}{3}}$

c)

$\frac{2}{9}x^{-\frac{4}{3}}$

2.

$Find\ the\ first\ derivative\ of\ 2^x$

a)

$2^x\log2$

b)

$0$

c)

$2^x$

3.

$Find\ the\ third\ derivative\ of\ x^2+2x+5$

a)

0

b)

2

c)

1

4.

$find\ the\ first\ derivative\ of\ y=\sin x^{\cos x}$

a)

$\sin x^{\cos x}\left[\cot x\cos x-\sin x\log\left(\sin x\right)\right]$

b)

$\sin x^{\cos x}\left[\cot x\cos x+\sin x\log\left(\sin x\right)\right]$

c)

$\cot x\cos x-\sin x\log\left(\sin x\right)$

5.

$Find\ the\ derivative\ of\ \sqrt{x+\sqrt{x+\sqrt{x}}}$

a)

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

b)

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

c)

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

6.

$The\ function\ f\left(x\right)=1-\sqrt{1-x^2}\ in\ the\ interval\ \left[-1,\ 1\right]\ is$

a)

Continuous

b)

Discontinuous

c)

Neither continuous nor discontinuous

7.

$Write\ the\ formula\ for\ Normal\ line$

a)

$\left(y-y_1\right)=m\left(x-x_1\right)$

b)

$\left(y-y_1\right)=-m\left(x-x_1\right)$

c)

$\left(y-y_1\right)=-\frac{1}{m}\left(x-x_1\right)$

8.

$Write\ the\ formula\ for\ Tangent\ line$

a)

$\left(y-y_1\right)=-m\left(x-x_1\right)$

b)

$\left(x-x_1\right)=m\left(y-y_1\right)$

c)

$\left(y-y_1\right)=-\frac{1}{m}\left(x-x_1\right)$

9.

$Find\ m\ from\ the\ equation\ 2xe^x\ at\ \left(0,\ 0\right)$

a)

2

b)

1

c)

0

10.

$Find\ \lim_{t\rightarrow0}\ \frac{\sqrt{t^2+9}\ -3}{t^2}$

a)

0

b)

$\frac{1}{6}$

c)

$\frac{1}{9}$

Quiz V

Total questions: 10

Worksheet time: 17mins

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