Read more about derivatives if you don't already know what they are! The "Second Derivative" is the derivative of the derivative of a function. A derivative basically gives you the slope of a function at any point. (which are stored in y and x ), at the set of points specified by ( x_star ). dy = derivative (x,y,x_star) returns the derivative of a set of data, vs. dy = derivative (x,y) returns the derivative of a set of data, vs. Type in any function derivative to get the solution, steps and graphDescription. 4 is in the middle of 3 and 5, so for the best estimate of f'(4) you would take (y2 - y1) / (x2 - x1) to estimate out f'(4).Free derivative calculator - differentiate functions with all the steps. f'(4) is the derivative/ the slope of the line tangent to the graph at x = 4. In mathematics, the derivative shows the sensitivity of change of a function 's output with respect to the input.f'(4) is not the same as f(4), which I think where you may be getting confused. The slope of the tangent line is equal to the derivative of the function at the marked point. The graph of a function, drawn in black, and a tangent line to that graph, drawn in red. □ Learn how to find derivative using a given table of values.Derivative. Type in any function derivative to get the solution, steps and graphThe derivative of a function, y = f(x), is the measure of the rate of change of the function. 1 General Rules 2 Powers and Polynomials Free derivative calculator - differentiate functions with all the steps.
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