Free Printable quiz (1) Diff

1.

write your name

4 lines

2.

If $x^2+4y^2-4xy=0$ , then $\frac{\text{d}x}{\text{d}y}=$ …………

a)

-1

b)

$\frac{1}{2}$

c)

2

d)

1

3.

The rate of change of $\frac{x+1}{x-1}$ with respect to $\sqrt[]{x+1}$ at $x=3$ equal ........

a)

-2

b)

$\frac{1}{4}$

c)

1

d)

2

4.

The derivative of $y=2\cos^2\left(x\right)-\cot\left(x\right)$ with respect to $z=\sin\left(x\right)\$ equal

a)

$2\ \tan\ \left(x\right)+\csc^2\left(x\right)$

b)

$-4\sin\left(x\right)+\sec\left(x\right)\csc^2\left(x\right)$

c)

$4\tan\ \left(x\right)+\csc^2\left(x\right)$

d)

$-2\tan\left(x\right)+\sin\left(x\right)$

5.

if $f\left(x\right)=\sin^2\left(\tan x\right),then\ f^{\ '}\left(\frac{\pi}{4}\right)=$

a)

zero

b)

2

c)

2 sin (2)

d)

sin (4)

6.

If $x=\left(y^5-1\right)^8$ , then $\frac{\text{d}y}{\text{d}x}=$

a)

$\frac{y^5-1}{40\ x\ y}$

b)

$8\ \left(y^5-1\right)^7$

c)

$40\ x\ y$

d)

zero

7.

The slope of the curve : $y=\sqrt[]{x+\sec\left(x\right)}$ at $x=0$ equal ........

a)

-1

b)

zero

c)

$\frac{1}{2}$

d)

1

8.

If $y+\cot\left(x\right)=0$ , then $\frac{\text{d}y}{\text{d}x}=$

a)

$1+y$

b)

$1+y^2$

c)

$y^2-1$

d)

$y^2$

9.

If $f\left(x\right)=\sin\left(x\right)\ \sec\ \left(2x\right)\$ , then $f^{\ '}\left(0\right)=$

a)

-1

b)

zero

c)

1

d)

2

10.

If $y=\frac{1}{4}\sec^4\left(x\right)\$ , then $\frac{\text{d}y}{\text{d}x}=$

a)

$4y\ \tan\left(x\right)$

b)

$4y$

c)

$\sec^3\left(x\right)\ \tan\left(x\right)$

d)

$y\ \tan\left(x\right)$

quiz (1) Diff

Total questions: 10

Worksheet time: 7mins

Similar Resources on Wayground