Go to the solvemymath.com derivative calculator. Observe that there are three text boxes to enter data in for that online calculator: one to enter the function to take the derivative of, another to specify the variable to take the derivative with respect to (x, in most cases), and one to specify the order of the derivative (first derivative, second derivative or third derivative).
Leave the default values that are in the text boxes as you found them. Click the "Derivate!" button to plot the first derivative of the default function, sin (x), that is the default function. Scroll down the screen to view the original function, sin(x), and the function of its derivative, cos(x).
Click the "View Function and Derivative Graphs" button. Observe that the plot of the original function, sin(x), is in blue and the derivative, cos(x), is in red. Note that the maximum and minimum values of the function and derivative are contained within the window of the graph, and that the x coordinates for the graph extend between negative 4 and positive 4. Click the "Close" icon on the graph window to remove the graph's window from your screen.
Enter in another function in the "Function" box whose derivative you want to find and plot. Use the prescribed notation for entering functions: "*" for multiplication, "+" for addition, "/" for division, "^" for exponents, "exp" for exponentiation, "abs" for absolute value, "sin" for the sine function, and "cos" for the cosine function. Click the "How to Input" button to see how a number of different math operations are entered into the "Function" box.
Plot the second derivative of the function x^3+4*x^2+x+1 by clicking the "2nd derivative" button in the example that is displayed (scroll down on the screen if necessary to view the example). Observe that the calculator has determined that the second derivative is 6x+8. Click the "View Function and Derivative Graph" button to view the graph of the second derivative and the original function. Note the original function is plotted in blue and the second derivative is plotted in red.