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Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2) = ¿. It passes through (2, f(2)) = (2, 3). Therefore by the point-slope formula y – y0 = m(x – xo), the equation of the tangent line is

Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2) = ¿. It passes through (2, f(2)) = (2, 3). Therefore by the point-slope formula y – y0 = m(x – xo), the equation of the tangent line is

Advanced Engineering Mathematics
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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**Find an equation of the tangent line to \( y = f(x) \) when \( x = 2 \).** The slope of the tangent line is \( f'(2) = \frac{1}{6} \). It passes through \( (2, f(2)) = (2, 3) \). Therefore by the point-slope formula \( y-y_0 = m(x-x_0) \), the equation of the tangent line is...
Transcribed Image Text:**Find an equation of the tangent line to \( y = f(x) \) when \( x = 2 \).** The slope of the tangent line is \( f'(2) = \frac{1}{6} \). It passes through \( (2, f(2)) = (2, 3) \). Therefore by the point-slope formula \( y-y_0 = m(x-x_0) \), the equation of the tangent line is...
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