## iop360 3 years ago how to simplify ((-33Pi)/2) + (1/(1+66Pi)) into -99Pi

1. iop360

$\frac{ -33\Pi }{ 2 } + \frac{ 1 }{ 1 + 66\Pi }$

2. iop360

3. iop360

how do i this to that

4. gjhfdfg

Solve it step by step

5. iop360

i tried multiplying by the common denominator but it just takes me back to step 1

6. iop360

$\frac{ -33\Pi(1+66\Pi) + 2 }{ 2(1+66\Pi) }$

7. gjhfdfg

If I remember right you would have to multiply everything with pi beside it by 3.14, but thats not a promise. Its been awhile since I've worked with problems including pi

8. iop360

i c

9. iop360

btw the original equation was $y = \sin \left[ x - \tan(\frac{ \Pi }{ 4 }x ^{66}) \right] + x ^{\frac{ 1 }{ 1+66\Pi }}$

10. iop360

with 1 plugged in

11. iop360

i had to takes its derivative and then narrow it down to what i have now

12. iop360

the answer is -99Pi, but i need to know how it simplified to that

13. iop360

$y'(1) = \cos \left[ x- \tan(\frac{ \Pi }{ 4 }x ^{66}) \right](1 - \sec ^{2}(\frac{ \Pi }{ 4 }x ^{66}))(\frac{ 33\Pi }{ 2 }x ^{65}) + \frac{ 1 }{ 1 + 66\Pi }x ^{\frac{ 1 }{ x+66\Pi }-1}$

14. iop360

the x at the end is not an exponent

15. iop360

if you cant see the exponent at the end, it says$\frac{ 1 }{ 1+66\Pi }$

16. iop360

subtraced by 1

17. iop360

actually i may have taken the derivative wrong

18. zepdrix

woahh nasty looking problem XD

19. iop360

yea