Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Use implicit differentiation to find the equation of the tangent line to the curve xy³ + xy = 2 at the point
(1, 1).
The equation of this tangent line can be written in the form y = mx + b where m is
where b is
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and
1. a) Copy and complete the table below:
Original Function
First derivative
Second Derivative
f(t) = -5°
Original Function
First derivative
Second Derivative
fG)-100
b) After completing the table in part 1 a) above, copy and complete the table below by
stating the name of EACH function used and their respective derivatives:
h(p)--2³-p
2. a) Differentiate the function Q(p) = -2√/p³(e
b) Hence or otherwise, determine Q'(1).
Part 1
a) Given f(z)
y
+ x2 + i(2x2 - y?), show which points where f has
a derivative.
b) Show that f (z) = z2 + z - 1 does not have a derivative at any point
z E C.
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