The formula for finding the slope of a tangent line at a specific point (x0, y0) on a function f(x) is given by the derivative of the function, f'(x0).
To find the derivative of a function using the algebraic method, you must use the power rule. For a function f(x) = xn, the derivative is given by f'(x) = nx^(n-1).
The process for finding the slope of a tangent line using the algebraic method involves finding the derivative of the function at the given point, substituting the x-coordinate of the point into the derivative, and simplifying the resulting expression to find the slope.
Yes, the slope of a tangent line can be negative. This occurs when the function is decreasing at the given point, meaning the tangent line has a negative slope.
The slope of a tangent line to a function at a specific point represents the instantaneous rate of change at that point. It tells us how much the function is changing at that exact moment.