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Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² , at x = 4 3. f(x) = -3x², at x = -3 4. f(x) = 3 – x², at x = -3 5. f(x) = 4x² + x , at x = 3 6. f(x) = 2x² + 3x + 1, at x = 2 7. f(x) = 5x² – 2x – 4 , at x = -1

Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² , at x = 4 3. f(x) = -3x², at x = -3 4. f(x) = 3 – x², at x = -3 5. f(x) = 4x² + x , at x = 3 6. f(x) = 2x² + 3x + 1, at x = 2 7. f(x) = 5x² – 2x – 4 , at x = -1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line through the point. Find the slope of the tangent line. To do this, find the derivative of the function. Next, evaluate the derivative at the specified value of x. The result is the slope of the tangent line. Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x2, at x = 4 3. f(x) = -3x?, at x = -3 4. f(x) = 3 - x², at x = -3 5. f(x) = 4x? + x , at x = 3 6. f(x) = 2x? + 3x + 1, at x = 2 7. f(x) = 5x? - 2x – 4, at x = -1
Transcribed Image Text:Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line through the point. Find the slope of the tangent line. To do this, find the derivative of the function. Next, evaluate the derivative at the specified value of x. The result is the slope of the tangent line. Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x2, at x = 4 3. f(x) = -3x?, at x = -3 4. f(x) = 3 - x², at x = -3 5. f(x) = 4x? + x , at x = 3 6. f(x) = 2x? + 3x + 1, at x = 2 7. f(x) = 5x? - 2x – 4, at x = -1
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