Calculus

Derivatives, integrals, limits and graph analysis.

• Find the slope of a function at a pointGet the derivative of a function at one x value as a decimal, using the built-in derivative function.
• Find a definite integralWork out the integral of a function between two x values and get a number.
• Shade the area under a graphDraw a curve and let the graph tools find and shade the area between it and the x-axis.
• Read the slope from a graphGraph a function and move to a point to see dy/dx, the slope of the curve there.
• Differentiate with a formula answerGet the derivative as an expression in x, not just a number at one point.
• Integrate with a formula answerFind an antiderivative as an expression, or a definite integral as an exact value.
• Find a limitSee what value a function approaches as x gets close to a number, exactly or by testing nearby values.
• Solve an equation numericallyFind a root of any equation by giving a starting guess and letting the calculator home in on the answer.
• Find the equation of a tangent lineUse the derivative to get the slope at a point, then build the line y = m(x − a) + f(a).
• Add up a series (sigma notation)Find the sum of an expression as the counter runs from a start to an end value.
• Factor and expand expressionsTurn x² − 5x + 6 into (x − 2)(x − 3), or multiply brackets out, using the algebra commands.
• Solve an equation exactlyGet exact answers, like x = 2 or x = 3, instead of decimals, using symbolic solve.
• Integrate on an RPN calculatorWrite a short program for your function, then integrate it between two limits.