Let y (x 2 + 4) = 8 a. Use implicit differentiation to find dy/dx. b. Find
Question:
Let y (x2 + 4) = 8
a. Use implicit differentiation to find dy/dx.
b. Find equations of all lines tangent to the curve y(x2 + 4) = 8 when y = 1.
c. Solve the equation y(x2 + 4) = 8 for y to find an explicit expression for y and then calculate dy/dx.
d. Verify that the results of parts (a) and (c) are consistent.
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a y2x x 2 4y 0 so y 2xyx 2 4 b At y 1 we have x 2 4 8 so ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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