Free Printable calculus lesson 2

1.

a)

$\frac{1}{8}$

b)

$\frac{3}{8}$

c)

$\frac{3}{4}$

d)

8

2.

a)

2

b)

-2

c)

\frac{1}{2}

d)

$-\frac{1}{2}$

3.

a)

b)

c)

d)

4.

a)

zero

b)

1

c)

2

d)

3

5.

If\ f(x)=\tan x\ ,\ then\ f^{\parallel}\left(\frac{\pi}{4}\right)=......

a)

-4

b)

2

c)

4

d)

$4\sqrt{2}$

6.

If\ y\ =\ \sec^nx\ ,\ then\ \frac{dy}{dx}=.......

a)

$n\sec^{n-1}x\ \tan x$

b)

$n\ y\ \cot x$

c)

$n\ y\ \tan x\$

d)

$n\ y$

7.

The slope of tangent to the curve : $\cos\sqrt{\pi y}\ =\ 3x\ +1\$ at the point $\left(-\frac{1}{3},\frac{\pi}{4}\right)$ equals .........

a)

$-\frac{3\pi}{4}$

b)

0

c)

3

d)

-3

8.

$If\ y=\frac{1}{2}Sec^2x\ ,\ then\ \frac{dy}{dx}\ =\ .........$

a)

$y\tan x$

b)

$2y\tan x$

c)

$y^2\tan x$

d)

$\frac{1}{2}y\ \tan x$

9.

$If\ x\ =\ t^2+4t-2\ ,\ y\ =\ 2t^2-3\ \$ $then\ \frac{dy}{dx}\ at\ t=1\ equals....$

a)

6

b)

4

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

10.

$If\ 𝑥^2\ +\ y^2\ =\ 2\ x\ y\ \$ $then\ \ \ y^{\parallel}=\ .......$

a)

0

b)

1

c)

2

d)

-1

calculus lesson 2

Total questions: 10

Worksheet time: 20mins

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