Question

Найдите производную функций:
a) у=2x^4-0.3x^3+x^2-2
б) y=2cosx+sinx-lng
в) y=0.2x^5-3x^3+x-5
г) y=-sinx+7cosx-e^x

Answer 1

Ответ:

1.

а)

$y' = 2 \times 4 {x}^{3} - 0.3 \times 3 {x}^{2} + 2x = \\ = 8 {x}^{3} - 0.9 {x}^{2} + 2x$

б)

$y' = - 2 \sin(x) + \cos(x) - \frac{1}{ ln(10) \times x}$

_______________

1.

а)

$y' = 0.2 \times 5 {x}^{4} - 3 \times 3 {x}^{2} + 1 = \\ = {x}^{4} - 9 {x}^{2} + 1$

б)

$y' = - \cos(x) - 7 \sin(x) - {e}^{x}$