Пошаговое объяснение:
1)y=2x⁻³2)y=3√x 3)y=cos x 4) y=3cos x 5)y=2sinx 6) y=3/x 7)y=3/4ˣ
8) y=3/4 x
1 ) y = 2x⁻³ ; y' = 2* (- 3 )* x⁻⁴ = - 6x⁻⁴ ;
2) y = 3√x ; y' = 3 * 1/2 *x^(- 1/2) = 1,5x^(- 1/2 ) = 1,5/√x ;
3) y = cosx ; y' = - sinx ;
4) y = 3cosx ; y' = ( 3cosx )' = - 3sinx ;
5) y = 2sinx ; y' = ( 2sinx )' = 2cosx ;
6) y = 3/x ; y' = ( 3/x )' = ( 3x⁻¹ )' = - 3/x² ;
7)y = 3/4ˣ ; y' = ( 3/4ˣ )' = ( 3* 4⁻ˣ )' = 3 * (- 1 ) * 4⁻ˣ *ln4 = - 3* 4⁻ˣ *ln4 .
8) y = 3/4 x ; y' = ( 3/4 x )' = 3/4 * 1 = 3/4 .
