Question

Differentiate with respect to x.

Answer 1

\[\cos^4(1-x)\]=
\[4\cos^3(1-x).-\sin(1-x).-1\]

Answer 2

\(= 4cos^3(1-x)sin(1-x)\)

Answer 3

Is this arrangement correct ?

Answer 4

yes, for the first reply

Answer 5

yes for the second reply too

Answer 6

your minus next to the sin and next to the 1, both have disappeared, became +

Answer 7

when you use latex add \ before trigonometric functions and before log and ln.

Answer 8

Like `\(\large\color{black}{ \cos^3(1-x) }\)`
\(\large\color{black}{ \cos^3(1-x) }\)

and not, `\(\large\color{black}{ cos^3(1-x) }\)`
\(\large\color{black}{ cos^3(1-x) }\)

Answer 9

Okay

Answer 10

(I am assuming that your dots are multiplication)

Answer 11

Yes,it is

Answer 12

why don't you use the \times for multiplication sign?

Answer 13

and just as far as the notations go, say:

\(\large\color{red}{ 4 \cos^3(1-x) \times(-\sin(n-1))\times (-1) }\)

\(\large\color{black}{ 4 \cos^3(1-x) \sin(n-1) }\)

(correct in red)

Answer 14

The final answer is also same as \(4~sin~(1-x)~cos^3~(1-x)\) rite

Answer 15

yup

Answer 16

Alrite!

Answer 17

sure, but remember not to put two signs (multiplication and the minus) without any parenthesis separation, just for the sake of the notations.

as far as the work goes, very very good job!

Answer 18

Okay :)
Thanks @SolomonZelman

Answer 19

Yw