d/dx [1/5 tan5x] =

Question

\(\frac d{dx} \left[\frac 15\tan5x\right]=\)

(A) \(\frac 15\sec^25x\)

(B) \(\frac 1{25}\sec^25x\)

(C) \(\sec^25x\)

(D) \(5\sec^25x\)

Answer 1

Correct option is (C) \(\sec^25x\)

\(\frac d{dx} \left[\frac 15\tan5x\right]=\frac15.5.\sec^25x\)

\(=\sec^25x\)