1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to the curve f(x) = x² + 3x at the point where x=2. 2. If y = find y' and use this result to the points on the curve y =where the tangent line has the slope -4. 3. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel to the line with equation y – 4x + 2 = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the
tangent line to the curve f(x) = x² + 3x at the point where x=2.
2. If y = find y' and use this result to the points on the curve y =where the
tangent line has the slope -4.
3. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel
to the line with equation y – 4x + 2 = 0.
Transcribed Image Text:1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to the curve f(x) = x² + 3x at the point where x=2. 2. If y = find y' and use this result to the points on the curve y =where the tangent line has the slope -4. 3. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel to the line with equation y – 4x + 2 = 0.
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