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Using The TI-Nspire Calculator in AP Calculus

Numerically calculate the derivative of a function (Using the TI-Nspire, Version 3 0) Example: Find dy dx at x 323 if y x x x 5 8 4 1: Add Calculator From b, select 4: Calculus 1: Numerical Derivative at a Point Fill in the variable and value Fill in the template with the function



1 Derivatives of Piecewise Defined Functions

to calculate the derivative at a point where two di↵erent formulas “meet”, then we must use the definition of derivative as limit of di↵erence quotient to correctly evaluate the derivative Let us illustrate this by the following example Example 1 1 Find the derivative f0(x) at every x 2 R for the piecewise defined function f(x)= ⇢



TI-84 Graphing Calculator Guide designed to accompany

TI-84 Graphing Calculator Guide designed to accompany Calculus Concepts: An Informal Approach to the Mathematics of Change 5e Preliminaries 1 0 1 Setup and Calculations 1 0 1 0 Turning the Calculator ON or OFF 1 0 1 1 Settings 1 0 1 1a Mode 1 0 1 1b Statistical Setup 1 0 1 1c Graphing Window Format 2



TI-36X Pro Calculator

The TI-36X Pro calculator uses Equation Operating System (EOS™) to evaluate expressions Within a priority level, EOS evaluates functions from left to right and in the following order 3 c i < 1st Expressions inside parentheses 2nd Functions that need a ) and precede the argument, such as sin, log, and all R³´P menu items 3rd Fractions



Calculator Skills Required for the AP Calculus Exams (new

are solving, the derivative they are finding, or the definite integral they are evaluating The set‐up must be written in standard mathematical notation – not calculator notation; they do not need to show any other work 1 Graph a function in an appropriate window a





DIFFERENTIATING UNDER THE INTEGRAL SIGN

An anti-derivative of (2x+ t3)2 with respect to xis 1 6 (2x+ t3)3, so Z 1 0 (2x+ t3)2 dx= (2x+ t 3) 6 x=1 x=0 = (2 + t) t9 6 = 4 3 + 2t3 + t6: This answer is a function of t, which makes sense since the integrand depends on t We integrate over xand are left with something that depends only on t, not x An integral like R b a



NO CALCULATOR IS ALLOWED FOR THIS QUESTION

NO CALCULATOR IS ALLOWED FOR THIS QUESTION 2 The figure above shows the graph of f', the derivative of a differentiable function f, on the closed interval 07ddx The areas of the regions between the graph of f' and the x-axis are labeled in the figure The function f is defined for all real number and satisfies f 4 10



Latin Derivatives A to V

Latin Derivatives - A - abdico, abdicare, abdicavi, abdicatus - to renounce, reject; to disown, disavow abdicate - (tr ) to renounce (office or authority); (intr ) to renounce office or authority: Following the humiliating loss of some 300 ships to the

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