What is the derivative of ${sec x}^{5}$ $sec x ^5$ ?

Question

What is the derivative of ${sec x}^{5}$ $sec x ^5$ ?

1 Answer

Impact of this question

4183 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-06T18:48:28

$5 x^{4} {sec x}^{5} {tan x}^{5}$ $5x^4secx^5tanx^5$

Explanation:

$y = sec (x^{5}) \Rightarrow \frac{d y}{d x} = sec (x^{5}) tan (x^{5}) \cdot \frac{d}{d x} (x^{5}) = sec (x^{5}) tan (x^{5}) (5 x^{4}) = 5 x^{4} {sec x}^{5} {tan x}^{5}$ $y=sec(x^5)rArr(dy)/(dx)=sec(x^5)tan(x^5)*d/(dx)(x^5)=sec(x^5)tan(x^5)(5x^4)=5x^4secx^5tanx^5$

Science

Math

Humanities

... and beyond

What is the derivative of ${sec x}^{5}$ $sec x ^5$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the derivative of sec x ^5secx5 sec x ^5?

1 Answer

Explanation:

Related questions

Impact of this question

What is the derivative of ${sec x}^{5}$ $sec x ^5$ ?