Question

Помогите пожалуйста!
Срочно!
Спасибо заранее ^_^
С 9-14 задания

Answer 1

9) $frac{d(sin(frac{pi}{6}-x))}{dx} = = frac{d(frac{pi}{6}-x)}{dx} times frac{d(sin(frac{pi}{6}-x))}{d(frac{pi}{6}-x)} = -1 times cos(frac{pi}{6}-x)$

10) $frac{d(cos(-6x + 7))}{dx} = = frac{d(-6x + 7)}{dx} times frac{d(cos(-6x + 7))}{d(-6x + 7)} = -1 times -sin(-6x+7) = sin(-6x+7)$

11) $frac{d(3(e^x)^2-sqrt{x})}{dx} = 3frac{d((e^x)^2)}{dx} - frac{d(sqrt{x})}{dx} = 3 times frac{d(e^x)}{dx} times frac{d((e^x)^2)}{d(e^x)} + frac{1}{2sqrt{x}} = 3times e^x times 2e^x + frac{1}{2sqrt{x}} = 6e^2x + frac{1}{2sqrt{x}}$

12) $frac{d(e^{x-1} times x^8)}{dx} = frac{d(e^{x-1})}{dx} times x^8 + e^{x-1} times frac{d(x^8)}{dx} = e^{x-1} times (x^8 + 8x^7)$

13) $frac{d(e^{x} times (x^3 - 5x + 3))}{dx} = e^x times (x^3 - 5x + 3 - 3x^2 + 5) = e^x times (x^3 -3x^2 - 5x + 8)$

14) $frac{d(e^{2x} times sqrt{2x-3})}{dx} = 2e^{2x} times sqrt{2x-3} + e^{2x} times frac{2}{2sqrt{2x-3}} = e^{2x} times (2sqrt{2x-3} + frac{1}{sqrt{2x-3}})$