find the slope of the line tangent to the following curve at x=1...

Question

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

answer: -99Pi

anonymous · Answer

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

anonymous · Answer

is what i get for the derivative

anonymous · Answer

damn even this is too long

anonymous · Answer

could you guys verify the derivative expression

anonymous · Answer

if youre working on this

anonymous · Answer

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

helder_edwin · Answer

what is the power of x to the right??

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

$$66pix^{65}/4$$

anonymous · Answer

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