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[DOC File]AP CALCULUS AB
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Find the interval for which the function is continuous. Find the discontinuities (if any) for the given function. State whether they are Removable, Nonremovable Jump or Nonremovable Infinite. Use your TI-83/84 to verify your responses. Answers: 1 0 . 1 -2 1 2.718 … “e”-3 . 0 2 1 . 10x. 0 . Continuous for
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[DOC File]116Deriv review95 - Saint Mary's College
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MATH 116-2006. Derivative & Antiderivative review . This review covers (most of) the first-semester material on limits, derivatives, and antiderivatives that we will call upon for second semester (doesn't include much on graphs, on log & exponential, exponential growth functions, or trig functions - which also will show up quite a bit).
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[DOC File]AP © Calculus BC
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In the early days of the course, students may construct derivative functions using a calculator command, then by examination of the graph, make an educated guess as to the form of the derivative function. Students can manipulate the graphs, and construct new ones to confirm or reject their conclusions.
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[DOC File]Calculus 3 Lecture Notes, Section 15.1
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Notice that the left-hand side of the equation sort of looks like a product rule derivative… If we could find a function u(t) to multiply times y(t), then we could have , which is easy to solve by direct integration. ... Also notice that the trig function and exponential function are related by Euler’s Formula: ... Calc …
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[DOC File]Summer Review Packet for Students Entering Calculus (all ...
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To find the inverse of a function, simply switch the x and the y and solve for the new “y” value. Example: Find the inverse for each function. 34) 35) Also, recall that to PROVE one function is an inverse of another function, you need to show that: Example: If: show f(x) and g(x) are inverses of each other. Prove f and g are inverses of ...
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[DOC File]Derivatives of Inverse Functions – Notes
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To find the inverse function for y = Tan x, we exchange the ‘x’ and the ‘y’ to get: and then we take the derivative w.r.t. ‘x’ to get: and then we use the rt trig trick: 4. Derivatives of the other Inverse Trig Functions. and . both of which can be proven by taking the derivative w.r.t. ‘x’ of the trig identities: and
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[DOC File]AP Calculus Ms. Kohler
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derivative of the inner function.” Practice: Find the derivative function for each. where 2. where . 3.6B The CHAIN RULE … more practice. This rule can be extended … if a function is a composite of more than two functions such as, then . Often, you need to REWRITE the function to identify the order from the outside in. Practice: Find the ...
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[DOC File]AP CALCULUS AB
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Larson 5.1 – derivative of natural log function, logarithmic differentiation. Larson 5.2 – antiderivatives of reciprocal functions and trig functions. Larson 5.3 – inverse functions. Larson 5.4 – derivative of natural exponential function, antiderivatives of natural exponential functions
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[DOC File]Indefinite Integrals Calculus
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If function is defined by on then on Observe that if we differentiate the integral with respect to we have . This fact enables us to compute derivatives of integrals as in the following example. Example 4: Use the Fundamental Theorem to find the derivative of the following function: Solution:
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[DOC File]AP Calculus Assignments: Derivative Techniques
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13. Without looking at your notes, write down the derivative formulas for the six basic trig functions. If you can’t do this, go back to problem #1. 14. Kenny thought he could survive AP Calc without knowing his derivative formulas cold. What happened? AP Calculus HW: Derivative Techniques - 5. 1.
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Trig function derivative calc