Question

Y=2х^2-х-1/3√2+4х производные

Answer 1

Y’=4x-1-0+4
y’=4x+3
y’=0
4x+3=0
x=-3/4

Answer 2

To find the derivatives of the given function Y = 2x^2 - x - 1/(3√2) + 4x, we'll differentiate it with respect to x. The symbol '√' represents the square root.

Step 1: Simplify the function to make the differentiation easier: Y = 2x^2 - x - 1/(3√2) + 4x Y = 2x^2 + 4x - x - 1/(3√2) Y = 2x^2 + 3x - 1/(3√2)

Step 2: Differentiate the simplified function with respect to x:

d/dx (2x^2) = 4x d/dx (3x) = 3 d/dx (-1/(3√2)) = 0 (since it's a constant) (d/dx (1/(3√2))) = 0 (the derivative of a constant is zero)

Now, add up the derivatives:

Y' = 4x + 3

So, the first derivative of the given function is Y' = 4x + 3.