## iop360 Group Title find the slope of the line tangent to the following curve at x=1... one year ago one year ago

1. iop360 Group Title

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

2. iop360 Group Title

slope of the line TANGENT to this curve at x =1

3. iop360 Group Title

4. iop360 Group Title

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

5. iop360 Group Title

is what i get for the derivative

6. iop360 Group Title

damn even this is too long

7. iop360 Group Title

could you guys verify the derivative expression

8. iop360 Group Title

if youre working on this

9. Edutopia Group Title

what kind of sadistic math teacher gave you this problem....

10. helder_edwin Group Title

what is the power of x to the right??

11. Edutopia Group Title

you have to use chain rule then substitute x=1.

12. Edutopia Group Title

your y(prime) is correct up to 2sec...

13. Edutopia Group Title

$66pix^{65}/4$

14. Edutopia Group Title

the above should be in place of your 2sec value... then add the derivative of that last value and substitute x=1