Differentiation question (1 Viewer)

[BlueGas]

Okay so differentiate logtan3x, I done that and I got 3 sec^2 3x/tan3x, but the final answer says 3/sin3x . cos3x (the dot between sin3x and cos3x is a times), how do you get the final answer?

 

[Zlatman]

 

[enigma_1]

3sec^2 3x/tan3x

= 3/cos^2 3x x 1/tan3x

= 3/cos^2 3x x cot3x

= 3/cos^2 3x x cos3x/sin3x

=3/sin3x . cos3x

 

[VBN2470]