PART II. DifferentiationFind the derivative of the given function with respect to the independent variable x or t. The symbols a, b and care constants greater than 1. You are not required to combine like terms, reduce fractions, or otherwise simplifyyour final answer.1)y = (1+ at)(ct)-29)y = V3tb – a2.510) r=%3Dsin(x)+ax:y =-1't+a'3)z = (ax)3 sin(2x)11)r =at4)z = vbx + 1(bx + 2/3)12) y = e2bx sin(ax + 2b)5)y = 2teat²+bt+c13) y = xa+2 @a+x6)y = t'et14) y = cos?(at²)7)y = (at³ – 3bt)²15) у-ax+b.8)y = In(ax)e²xcosh(3at)16) у-3bt2)

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1) y = (1+ at)(ct)-2 (÷ + c)*“* 2) y = 3) z = (ax)³ sin(2x)

1) y = (1+ at)(ct)-2 (÷ + c)“ 2) y = 3) z = (ax)³ sin(2x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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Question

PART II. Differentiation
Find the derivative of the given function with respect to the independent variable x or t. The symbols a, b and c
are constants greater than 1. You are not required to combine like terms, reduce fractions, or otherwise simplify
your final answer.
1)
y = (1+ at)(ct)-2
9)
y = V3tb – a
2.5
10) r=
%3D
sin(x)
+
ax:
y =
-1
't+a'
3)
z = (ax)3 sin(2x)
11)
r =
at
4)
z = vbx + 1(bx + 2/3)
12) y = e2bx sin(ax + 2b)
5)
y = 2teat²+bt+c
13) y = xa+2 @a+x
6)
y = t'et
14) y = cos?(at²)
7)
y = (at³ – 3bt)²
15) у-
ax+b.
8)
y = In(ax)e²x
cosh(3at)
16) у-
3bt
2)

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