tmua 2020 Q1

tmua · Uk · paper1 1 marks Chain Rule Straightforward Polynomial or Basic Differentiation
Which of the following is an expression for the first derivative with respect to $x$ of
$$\frac { x ^ { 3 } - 5 x ^ { 2 } } { 2 x \sqrt { x } }$$
A $- \frac { \sqrt { x } } { 2 }$
B $\frac { \sqrt { x } } { 4 }$
C $\frac { 3 x - 5 } { 4 \sqrt { x } }$
D $\frac { 3 \sqrt { x } - 5 } { 4 \sqrt { x } }$
E $\frac { 3 \sqrt { x } - 10 } { 3 \sqrt { x } }$
F $\frac { 3 x ^ { 2 } - 10 x } { 3 \sqrt { x } }$
..... 3
Which of the following is an expression for the first derivative with respect to $x$ of

$$\frac { x ^ { 3 } - 5 x ^ { 2 } } { 2 x \sqrt { x } }$$

A $- \frac { \sqrt { x } } { 2 }$

B $\frac { \sqrt { x } } { 4 }$

C $\frac { 3 x - 5 } { 4 \sqrt { x } }$

D $\frac { 3 \sqrt { x } - 5 } { 4 \sqrt { x } }$

E $\frac { 3 \sqrt { x } - 10 } { 3 \sqrt { x } }$

F $\frac { 3 x ^ { 2 } - 10 x } { 3 \sqrt { x } }$