Find dy/dx for each of these functions. a. x 3 + 2xy + y 3 = 10
Question:
Find dy/dx for each of these functions.
a. x3 + 2xy + y3 = 10
b. x2y + y2 = 5x
c. 2x2 + 5xy + y2 = 8
d. x ln y = 2x + 5
e. 2exy + e2xy3 = 10
f. ln(xy) = 4 − y2
g. xy3 = 2 ln y
h. ln x − 2 ln y + 5xy = 3
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Step by Step Answer:
a To find dydx for x3 2xy y3 10 we can use implicit differentiation Taking the derivative of both sides with respect to x we get 3x2 2y 2xdydx 3y2dydx ...View the full answer
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John Kimani
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Related Book For 
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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