That line is [ y = 2 cos(2x) ].
Tangent line is a graph. This graph is to gather data.
For the equation (9x^2)/(x^2+4)
The answer will depend on the context. If the curve in question is a differentiable function then the gradient of the tangent is given by the derivative of the function. The gradient of the tangent at a given point can be evaluated by substituting the coordinate of the point and the equation of the tangent, though that point, is then given by the point-slope equation.
That's true at the point (0.5, 0.25) where the slope of the graph is ' 1 ' .
5
0.5
(a) y = -3x + 1
Tangent line is a graph. This graph is to gather data.
Yes, the derivative of an equation is the slope of a line tangent to the graph.
For the equation (9x^2)/(x^2+4)
The question is suppose to read: Find the equation of the line tangent to y=(x²+3x)²(2x-2)³, when x=8
The answer will depend on the context. If the curve in question is a differentiable function then the gradient of the tangent is given by the derivative of the function. The gradient of the tangent at a given point can be evaluated by substituting the coordinate of the point and the equation of the tangent, though that point, is then given by the point-slope equation.
The equation has no slope. The graph of the equation is a straight line with a slope of -1 .
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph
A linear equation ?
The slope of the graph of that equation is -1.