An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y) on d²y the curve dx2 = 24x2 + 6x. Find an equation of the curve.

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
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An equation of the tangent line to a curve at the
point (2, 4) is y = x + 2. if at any point (x, y) on
d²y
the curve
dx2
= 24x? + 6x. Find an equation of
the curve.
Transcribed Image Text:An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y) on d²y the curve dx2 = 24x? + 6x. Find an equation of the curve.
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