Differentiate the following: a) y=-x²+x-5 (b) y = 10 + 2 3 (c) y = 2√x - 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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Differentiate the following:
(a) y=-x²+x-5 (b) y =
(f) y :
1+x-4√x
X
(j) y = tanx-e* (k)y=.
sin
= (1 + C050)
cos
(o) y =
10 2 3
1
(g) y = x² cotx--
sin .x
cosx−sin x
(p) y = sec √√x tan
(1)
(c) y = 2√x-
4
cosx—sin x
sin.x
(q) y=-
(d) y
(h) y = (secx+tan x)(secx-tanx) (i) y = (sinx+cos x) seex
(1) y = cos³ € (m) y = sin(tanesinx) (n) y = x² cos²x
= (x² + 3x)sinx (e) y = 2
(r) y =
2
4cos.x
et
3
+
csc x COS X
Transcribed Image Text:Differentiate the following: (a) y=-x²+x-5 (b) y = (f) y : 1+x-4√x X (j) y = tanx-e* (k)y=. sin = (1 + C050) cos (o) y = 10 2 3 1 (g) y = x² cotx-- sin .x cosx−sin x (p) y = sec √√x tan (1) (c) y = 2√x- 4 cosx—sin x sin.x (q) y=- (d) y (h) y = (secx+tan x)(secx-tanx) (i) y = (sinx+cos x) seex (1) y = cos³ € (m) y = sin(tanesinx) (n) y = x² cos²x = (x² + 3x)sinx (e) y = 2 (r) y = 2 4cos.x et 3 + csc x COS X
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