Question

Вычислить производную функции у= -2x+2x^3-x2 в точке х=1 вычислить производную функции У= -х-2х^3-x^2 в точке х=1 вычислить производную функции у=2x+2x^3-x^2 в точке х=1 вычислить производную функции у= -2x-2x^3-x^2 в точке х=1 вычислить производную функции у= x-2x^3+x^2 в точке х=1 вычислить производную функции у= x-2x^3-x^2 в точке х=1 вычислить производную функции у= -x+2x^3-x^2 в точке х=1 прошу очень надо!!!!!!

Answer 1

Ответ:

1)

f'(x)=(-2x+2x^3-x2)'= -2+6x²-2x

в точке х=1:

f'(1)= -2+6*1²-2*1 = -2 +6 -2 = 2

2)

f'(x)=(-х-2х^3-x^2)'= -1-6x²-2x

в точке х=1:

f'(1)= -1 - 6 -2 = -9

3)

f'(x)=(2х+2х^3-x^2)'= 2 +6x^2 -2x

в точке х=1

f'(1)= 2 +6 -2 = 6

4)

f'(x)=(-2x-2x^3-x^2)'= -2 -6x^2 -2x

в точке х=1

f'(1)= -2 -6 -2 = -10

5)

f'(x)=(x-2x^3+x^2)'= 1 -6x^2 +2x

в точке х=1

f'(1)= 1 -6 +2 = -3

6)

f'(x)=(x-2x^3-x^2)'= 1 -6x^2 -2x

в точке х=1

f'(1)= 1 - 6 - 2 = -7

7)

f'(x)=(-x+2x^3-x^2)'= -1 +6x^2 -2x

в точке х=1

f'(1)= -1 + 6 -2 = 3

Answer 2

Решение на фотографии

Answer 3

Calculating Derivatives

To calculate the derivatives of the given functions at the point x = 1, we can use the power rule and the sum/difference rule of differentiation.

1. For the function u = -2x + 2x^3 - x^2: - The derivative of -2x is -2. - The derivative of 2x^3 is 6x^2. - The derivative of -x^2 is -2x. - Therefore, the derivative of u with respect to x is -2 + 6x^2 - 2x.

2. For the function U = -x - 2x^3 - x^2: - The derivative of -x is -1. - The derivative of -2x^3 is -6x^2. - The derivative of -x^2 is -2x. - Therefore, the derivative of U with respect to x is -1 - 6x^2 - 2x.

3. For the function u = 2x + 2x^3 - x^2: - The derivative of 2x is 2. - The derivative of 2x^3 is 6x^2. - The derivative of -x^2 is -2x. - Therefore, the derivative of u with respect to x is 2 + 6x^2 - 2x.

4. For the function u = -2x - 2x^3 - x^2: - The derivative of -2x is -2. - The derivative of -2x^3 is -6x^2. - The derivative of -x^2 is -2x. - Therefore, the derivative of u with respect to x is -2 - 6x^2 - 2x.

5. For the function u = x - 2x^3 + x^2: - The derivative of x is 1. - The derivative of -2x^3 is -6x^2. - The derivative of x^2 is 2x. - Therefore, the derivative of u with respect to x is 1 - 6x^2 + 2x.

6. For the function u = x - 2x^3 - x^2: - The derivative of x is 1. - The derivative of -2x^3 is -6x^2. - The derivative of -x^2 is -2x. - Therefore, the derivative of u with respect to x is 1 - 6x^2 - 2x.

7. For the function u = -x + 2x^3 - x^2: - The derivative of -x is -1. - The derivative of 2x^3 is 6x^2. - The derivative of -x^2 is -2x. - Therefore, the derivative of u with respect to x is -1 + 6x^2 - 2x.

Please note that these derivatives are evaluated at the point x = 1.