(q) f(x) = sin(sin(sin(x)))

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Solve q. Find the derivative of f.

(2+x²) ²
- 6x/(2+x²)²
+ x²
rative of f:
-7x+2
-7
+5
2-12-²
(x-3)
(x + 3)
2
√√x9
+
2³)
Bx)) ³
(3x)
1
(7-5x)'
(S-) z/₁_(*s-t) ² =
//--
룩
2/1-(*S-E)
(k) f(x)
sin(x) (cos(x)-sin(x)) (03(x)) - (-3m (sc) --
cos(x) - sin(x) (cos(x)=sin(x))
(1) f(x) = √sin √√x
= cos²-sincos - (-
(cos(x) - Sin
cos² + Sin³
=
(cos - sin)?
(m) f(x) = e sin(x)
(n) f(x) = ln (sin(√x))
1/2
(o) f(x) = (1 + ln(x))
e
(p) f(x) = sin(e* sin(x))
(q) f(x) = sin(sin(sin(x)))
CATAZOING
Peeet
(r) f(x) =
KICHAWEI 450
(s) f(x) = x²
(t) f(x) = 2x²
f(x)=2
+ Chair
Transcribed Image Text:(2+x²) ² - 6x/(2+x²)² + x² rative of f: -7x+2 -7 +5 2-12-² (x-3) (x + 3) 2 √√x9 + 2³) Bx)) ³ (3x) 1 (7-5x)' (S-) z/₁_(*s-t) ² = //-- 룩 2/1-(*S-E) (k) f(x) sin(x) (cos(x)-sin(x)) (03(x)) - (-3m (sc) -- cos(x) - sin(x) (cos(x)=sin(x)) (1) f(x) = √sin √√x = cos²-sincos - (- (cos(x) - Sin cos² + Sin³ = (cos - sin)? (m) f(x) = e sin(x) (n) f(x) = ln (sin(√x)) 1/2 (o) f(x) = (1 + ln(x)) e (p) f(x) = sin(e* sin(x)) (q) f(x) = sin(sin(sin(x))) CATAZOING Peeet (r) f(x) = KICHAWEI 450 (s) f(x) = x² (t) f(x) = 2x² f(x)=2 + Chair
Expert Solution
Step 1

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.

f(x)=\sin \left(\sin \left(\sin \left(x\right)\right)\right)

take derivative

f'(x)= \frac{d}{dx}\left(\sin \left(\sin \left(\sin \left(x\right)\right)\right)\right)

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