Differentiate D = x2 + sin25x with respect to t and simplify. x2 + sin? 5x dt dt x2 + sin2 5x)1/2 dt -그(x2+ sin2 5x)-1/2.0 (x2 + sin? 5x) dt + sin Sx)-/2(2x + 2 sin Sx dx dt - (x + sin 5x)-1(x + 5sin 5x cos 5x) dt X+5sin 5x cos 5x 1/2 dt %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 101E
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Differentiate D =
Vx² + sin25x with respect to t and simplify.
dD
V² + sin? 5x
dt
dt
x²+sin2 5x)/2
dt
(x2 + sin? 5x)-1/2 (x2 + sin2 5x)
dt
=x² + sin2 5x)-/2(2x + 2 sin 5x
dx
-1/2/
dt
(x + sin 5x)-2x + 5sin 5x cos 5x
dt
X+5sin 5x cos 5x
1/2
dt
Transcribed Image Text:Differentiate D = Vx² + sin25x with respect to t and simplify. dD V² + sin? 5x dt dt x²+sin2 5x)/2 dt (x2 + sin? 5x)-1/2 (x2 + sin2 5x) dt =x² + sin2 5x)-/2(2x + 2 sin 5x dx -1/2/ dt (x + sin 5x)-2x + 5sin 5x cos 5x dt X+5sin 5x cos 5x 1/2 dt
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