derivative of (secx)^ (n-2) ?? (1 Viewer)

[school4nerds]

^^^^ how to find derivative for this??

 

[SpiralFlex]

Simplify the power

 

[Jashua_Long]

^^^^ how to find derivative for this??

Chain rule :|

The day before 4 unit exam and you don't know that. You are in big trouble.

 

[braintic]

Assuming you know that d/dx (secx) = secx tanx , then:

(n-2) (secx)^(n-3) times secx tanx

ie. (n-2) (tanx) (secx)^(n-2)

 

[Carrotsticks]

Why is this in the Extension 2 section? Are you sure you did not mean 'Integral'? The integral of powers of the secant function is a far more commonly asked question.

 

[kayven]

how would you integrate secx ^ n-2 though?

 

[bloodvial]

Not exactly pretty.

http://www.wolframalpha.com/input/?i=integral+of+secx^%28n-2%29

 

[Carrotsticks]

how would you integrate secx ^ n-2 though?

Use reduction formulae and Integration by Parts.

Not exactly pretty.

http://www.wolframalpha.com/input/?i=integral+of+secx^%28n-2%29

No, don't wolfram reduction formulae problems. You will not get nice answers.