Question

y=(x^2-5)(2x+3)
y=x-2/x+3
y=sin3x+1/4cos4x
y=(5x+3)^3
найдите производную​

Answer 1

Ответ:

$1)y' = 2x(2x + 3) + 2( {x}^{2} - 5) = 4 {x}^{2} + 6x + 2 {x}^{2} - 10 = 6 {x}^{2} + 6x - 10$

$2)y' = \frac{1 \times (x + 3) - 1 \times (x - 2)}{ {(x + 3)}^{2} } = \frac{3 + 2}{ {(x + 3)}^{2} } = \frac{5}{ {(x + 3)}^{2} }$

$3)y' = 3 \cos(3x) + \frac{1}{4} \times 4 \times ( - \sin(4x) ) = 3 \cos(3x) - \sin(4x)$

$4)y' = 3 {(5x + 3)}^{2} \times 5 = 15 {(5x + 3)}^{2}$