Question

Определите абсциссы точек, в которых угловой коэффициент касательной к графику функции равен 2.

Answer 1

H(x)=1-2sin²x=cos2x
k=h`(x0)
h`(x)=-2sin2x
-2sin2x=2
sin2x=-1
2x=-π/4+2πn,n∈Z
x=-π/8+πn,n∈Z

Answer 2

Finding the Abscissas of Points with a Tangent Line's Slope of 2

To find the abscissas of points where the slope of the tangent line to the graph of a function is equal to 2, we can use the derivative of the function. The derivative gives us the slope of the tangent line at any point on the graph.

The derivative of a function f(x) gives the slope of the tangent line to the graph of f(x) at any point x. When the derivative is set equal to 2, we can solve for the corresponding x-values.

Let's proceed with finding the abscissas based on the given information.

Step 1: Find the Derivative The first step is to find the derivative of the function.

Step 2: Set the Derivative Equal to 2 Next, we set the derivative equal to 2 and solve for the corresponding x-values.

Step 3: Solve for x Finally, we solve the equation obtained in the previous step to find the abscissas of the points where the slope of the tangent line is equal to 2.

Let's proceed with these steps to find the abscissas.