Question

Can you help me find the derivative of these problems...Every time I try doing these I don't get the right answer.

All of these are fractions;

(x)/(2+x)=

(x^2+3)/(x^3-2)=

(2π)/(x^2-x)=

These are not fractions;

(3x^3/2 tanx)=

(3x^1/2 sinx)=

(4secx tanx)=

(x^2 cotx)=

(x^1/2 cscxsinx)=

Please help me, on my homework it already has the answers to check my results but for some reason I keep ending up with the wrong answer.

Answer 1

(2+x) d/dx (x) + x d/dx (2+x)

(2 + x) + x(1)

2 + 2 x

2(x+1)

Answer 2

..I'm not sure I understand

Answer 3

mistook / for times

(bottom*derivative of top - top * derivative of bottom)/bottom^2

(x)/(2+x)=

= [(x+2)(1)-x(1) /(x+2)^2

= [ x+2 -x ] /(x+2)2

= 2/(x+2)^2

Answer 4

Oh okayyyyyyyy, I see it now, thanks

Answer 5

Could you perhaps do one of the ones on the bottom that are not in fraction form, cause I have a hard time doing the ones that have cos,sin,sec, and tan in them.