Question

PROBLEM SET
341
Find the differential coefficients of the following functions :
1. e*. sin x.
3. 7 log x. tan x.
5. x2. e* sin x.
2, xº . cos x.
4. 2 sin x x log x.
d
d
Hint. *e* sin x + x2 sin x
dx
dx
q-2
6. e* sin x + tro cos x.
d
Hint.
dx
ca
et
sin x + sin x
d
dec)+(o 200 x + cos x
Sveti
dx
7. e*(1 + log x).
xe" - 1
d
d
Hint, e* (1 + log x) + (1 + log x)
dx
dx
et (x - 1)
et + sinx
10.
11.
1+ logem
8.
9.
sin x
* + 1
- a
12.
loge *
1 + x logex
et
e
13,
e* te a
14.
1 - cos x
1 + cos x
15. (x + 1) (2x + 1).
16.
2x2 - 4
3x2 +5
(2 + 5x)2
17.
22 - 1
d
d​

Answer 1

Answer:

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