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MATH 4H RATES - TANGENTS CURVES DIFFERENTIATION HOMEWORK NAME Homework assignments are from the Merrill AND Anton textbooks. 5 x 11 inches Study for Test AP Calculus AB Name Symbolic Differentiation Let be differentiable functions whose values are given in the table below. HW 89 Merrill - p. 483 - 11 15 20 24 31 HW 90 HW 91 Ditto - Chapter 15 Practice p. 315 - 1 - 12 14 18 23 HW 92 HW 93 Anton - p. 149 - 1 3 11 15 17 23 25 Study for Quiz HW 94 Ditto 17-2 Ditto p. 318 - 5 8...
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How to fill out rates - tangents curves
01
Step 1: Begin by identifying the equation of the curve that you want to find the tangent at.
02
Step 2: Differentiate the equation of the curve with respect to the independent variable. This will give you the derivative of the curve.
03
Step 3: Substitute the x-coordinate of the point on the curve where you want to find the tangent into the derivative equation. This will give you the slope of the tangent line.
04
Step 4: Use the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) are the coordinates of the point on the curve, and m is the slope of the tangent line, to write the equation of the tangent line.
05
Step 5: Simplify the equation of the tangent line to its standard form, if necessary, to get the final equation of the tangent.
Who needs rates - tangents curves?
01
Students studying calculus: Rates of tangents and curves are a fundamental concept in calculus. They are used to analyze the behavior of functions and determine key points on a curve.
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Engineers and scientists: Rates of tangents and curves are used in various engineering and scientific disciplines to model and analyze physical phenomena.
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What is rates - tangents curves?
Rates - tangents curves are a mathematical concept used in calculus to analyze the slope of a curve at a specific point.
Who is required to file rates - tangents curves?
Rates - tangents curves are typically filed by students studying calculus or professionals working in fields that require mathematical analysis.
How to fill out rates - tangents curves?
To fill out rates - tangents curves, you would need to calculate the derivative of a given function at a specific point.
What is the purpose of rates - tangents curves?
The purpose of rates - tangents curves is to understand the rate of change of a function at a specific point.
What information must be reported on rates - tangents curves?
The information reported on rates - tangents curves would typically include the original function, the point of interest, and the calculated derivative.
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