{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calc Homework Solutions 94

# Pre-Calc Homework Solutions 94 - 94 Section 3.6 dy dx d dx...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 94 Section 3.6 dy dx d dx ( 2x 3 2x 1 1) (3) ( 2x ( 2x 1)(0) 3 2x 3 2 1 2x 1 d dx d dx 15. 19. 3 ( 1)2 1 2 2x d (2x 1 dx dy dx d (1 dx cos2 7x)3 cos2 7x)2 (1 d dx 2x 1) 3(1 3(1 3(1 1) cos2 7x) d dx cos2 7x)2(2 cos 7x) (cos 7x) cos2 7x)2(2 cos 7x)( sin 7x) (7x) cos2 7x)2(2 cos 7x)( sin 7x)(7) cos2 7x)2 cos 7x sin 7x d dx 3(1 1 42(1 dy dx d ( dx (2) 1 3 2x 20. 2x 3/2 (2x 1) 1 3(2x 1) 1 d tan 5x 2 tan 5x dx 1 d (sec2 5x) (5x) dx 2 tan 5x 1 2 tan 5x) (sec 5x)(5) 5 2 2 tan 5x 5 sec2 5x 2 tan 5x or (tan 5x) 3t 3t d dt 2 1/2 sec2 5x 16. dy dx d dx ( 1 x 1 2 x2 d x ) (x) dx d x ( dx 21. 1 x ) 2 ds dt d cos 2 dt sin x 2) ( 1 ( 1 x )(1) 2 x ) x 1 2 2 2 2 2 3t 1 2 1 x 2 d (1 dx sin 3 sin 22. ds dt 3t ( 3) 3t 4t)] 4t)] 4t)] ( 4t)]( 4) 4t) cos ( d dt x2 1 x2 1 x2 x 1 x2 x 1 3/2 2 (2x) 2 1 (1 (1 x) x 2)( 2 d [t cos ( dt d (t) [cos ( dt cos ( 4t) cos ( 4t) 4t) (t) cos ( 4t) 4t)(1) d dt x 2) t[ sin ( t[ sin ( 4t sin ( (1 x2) 17. The last step here uses the identity 2 sin a cos a dy dx d sin2 (3x dx sin 2a. 23. ds dt d dt 4 3 4 3 4 4 4 sin 3t cos 5t 3 5 d 4 d (cos 3t) (3t) ( sin 5t) (5t) dt 5 dt 4 (cos 3t)(3) ( sin 5t)(5) 5 4 2) 2) d sin (3x dx 2 sin (3x 2 sin (3x 2 sin (3x 6 sin (3x 3 sin (6x 18. dy dx d (1 dx 2) 2) (3x 2)(3) 2) 24. ds dt d dx 2) cos (3x 2) cos (3x 2) cos (3x 4) 2(1 2) cos 3t sin 5t cos 2x)2 cos 2x) (1 d dx d dx cos 2x) 25. dr d d sin dt 3 cos 2 3 cos 2 3 7 t cos t 2 4 7 d 3 d 7 t t sin t t 4 dt 4 dt 2 3 7 7 t sin t 2 4 4 2(1 2(1 4(1 cos 2x)( sin 2x) (2x) cos 2x)( sin 2x)(2) cos 2x)(sin 2x) 26. d tan (2 d ) sec2 (2 sec2 (2 ) d (2 d ) sec2 (2 dr d )( 1) ) d (sec 2 tan 2 ) d d d (sec 2 ) (tan 2 ) (tan 2 ) (sec 2 ) d d d d (sec 2 )(sec2 2 ) (2 ) (tan 2 )(sec 2 tan 2 ) (2 ) d d 2 sec3 2 2 sec 2 tan2 2 ...
View Full Document

{[ snackBarMessage ]}