straightforward. 1. Differentiate the following with respect to x: (i) tan 2x (i) (5x +3) (iii) cosh 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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Programme 7
37
Test Exercise - VII
Do all the questions. Write out the solutions carefully. They are all quite
straightforward.
1. Differentiate the following with respect to x:
(ii) (5x + 3)
(iv) log10(x- 3x-1)
(i) tan 2x
(iii) cosh' x
(v) In cos 3x
(vi) sin 4x
e* sin x
(vi) e* siq3*
(viii)
(x +1)?
(ix)
x cos 2x
2. Ifx +y-2x + 2y 23, find
and
dx
at the point where
x=-2, y= 3.
3. Find an expression for
dy
dx
when
x+y +4xy? 5
4. If x 3(1- cos 8) and y = 3(0-sin 0) find
and
in their
simplest forms.
(99+
Transcribed Image Text:Programme 7 37 Test Exercise - VII Do all the questions. Write out the solutions carefully. They are all quite straightforward. 1. Differentiate the following with respect to x: (ii) (5x + 3) (iv) log10(x- 3x-1) (i) tan 2x (iii) cosh' x (v) In cos 3x (vi) sin 4x e* sin x (vi) e* siq3* (viii) (x +1)? (ix) x cos 2x 2. Ifx +y-2x + 2y 23, find and dx at the point where x=-2, y= 3. 3. Find an expression for dy dx when x+y +4xy? 5 4. If x 3(1- cos 8) and y = 3(0-sin 0) find and in their simplest forms. (99+
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