\(\frac{1}{{\sqrt {1 + {x^2}} }}\)

\(\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}\)

\(\frac{1}{{\sqrt {1 - {x^2}} }}\)

\(\frac{1}{{\sqrt {1 + {x^2}} }}\)

\({e^{x + h}}\)

\(\frac{{{e^{x + h}}}}{{\ln h}}\)

\(\frac{{{e^{x + h}}}}{{\ln x}}\)

\(h{e^{x + h}}\)

\(\frac{3}{{\sqrt {1 - 9{x^2}} }}\)

\(\frac{{ - 3}}{{\sqrt {1 - 9{x^2}} }}\)

\(\frac{{ - 1}}{{\sqrt {1 - 9{x^2}} }}\)

\(\frac{1}{{\sqrt {1 - 9{x^2}} }}\)

\(\frac{{\cos \sqrt x }}{{\sqrt x }}\)

\(\cos \sqrt x \)

\(\frac{{ - \cos \sqrt x }}{{2\sqrt x }}\)

\(\frac{{\cos \sqrt x }}{{2\sqrt x }}\)

cos x

-cosex c

-cot x

-tan x

-cot \(\theta \)

-tan \(\theta \)

cot x

tan x

\(f\{ {g^'}(x)\} \)

\({f^'}\{ g(x) \times {g^'}(x)\} \)

None of These

\({f^'}\{ g(x)\} \)

(x-2)

1

0

(x+2)

Power and Chain Rule

None of These

Chain Rule

Power Rule

\(\frac{{({x^3} + 1){}^9}}{{3{x^2}}}\)

\(9{({x^3} + 1)^8}\)

\(9{x^2}{(3{x^2} + 1)^8}\)

\(9{({x^3} + 1)^8}(3{x^2})\)

\(\frac{{ - a}}{{{{(ax + b)}^2}}}\)

\(\frac{a}{{{{(ax + b)}^2}}}\)

\(\frac{1}{{{{(ax + b)}^2}}}\)

\(\lim (ax + b)\)

\(\frac{1}{{2\sqrt 4 }}\)

\(2\sqrt a \)

\(\frac{1}{{\sqrt a }}\)

\(\frac{{ - 1}}{{2\sqrt a }}\)

4

2

3

\(\frac{1}{3}\)

y with respect to x

y with respect to y

x with respect to y

x with respect to x

\({f^o}(x)\)

\({f^'}(x)\)

\(\frac{{df}}{{dx}}\)

\(Df\left( x \right)\)

thrower

router

sender

rounder

Network Layer

Data Link Layer

Application Layer

Physical Layer

client

dealer

customer

agent

Application Layer

Functional Layer

Data Link Layer

Physical Layer

TCP/IP

FTP

WWW

http