4. Find the error/s in the solution by encircling that part/those parts of the error/s in red ink and write/show the complete correct solution. Dx (22+5) = = (2x+5)(2x)-(x²-1)2 (x²-1)² 2x² +10x+2 (x²-1)² 4x²+10x-2x²+2 (x²-1)²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Find the error/s in the solution by encircling that part/those parts of the error/s in red ink
and write/show the complete correct solution.
Dx (2x+5)
(2x+5)(2x)-(x² −1)2 4x²+10x-2x²+2
(x²-1)²
(x²-1)²
=
=
2x²+10x+2
(x²-1)²
=
5. Find the equation of the tangent line and the normal line to the curve
2
4
f(x) = ²x² x + at the x-intercept closest to the origin. Support your answer
graphically by showing the graph of f(x) and the obtained tangent and normal line.
Show your complete solution and label the graph properly.
Transcribed Image Text:4. Find the error/s in the solution by encircling that part/those parts of the error/s in red ink and write/show the complete correct solution. Dx (2x+5) (2x+5)(2x)-(x² −1)2 4x²+10x-2x²+2 (x²-1)² (x²-1)² = = 2x²+10x+2 (x²-1)² = 5. Find the equation of the tangent line and the normal line to the curve 2 4 f(x) = ²x² x + at the x-intercept closest to the origin. Support your answer graphically by showing the graph of f(x) and the obtained tangent and normal line. Show your complete solution and label the graph properly.
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