f ( x) e3 x 4 y
differentiating w.r.t x keeping y constant
applying chain rule
letu 3 x 4 y
du
3
dx
df
d u
e
du du
eu
by chain rule
df du df
.
dx dx du
df
3.eu
dx
3.e3 x 4
similarly
2 f
d
3e3 x 4
2
x
dx
applying chain rule
let u= 3x+4
du
3
dx
df
3eu
Lecture No. 7
Practice Questions
Important Note:
Practice these questions on your rough notebook.
Type their solutions in Math Type Software in order to increase your typing
speed.
For more practice questions, follow the recommended book.
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Lecture No. 1
Practice Questions
Important Note:
Practice these questions on your rough notebook.
Type their solutions in Math Type Software in order to increase your typing
speed.
For more practice questions, follow the recommended book.
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Inter-conversion of Cartesian coordinates x, y and polar coordinates r ,
Polar coordinates r , to Cartesian coordinates x, y
x r cos
y r sin
Cartesian coordinates x, y to polar coordinates r ,
r
x2 y2
y
tan 1
x
Inter-conversion of Rectangular coo
Lecture No. 4
Practice Questions
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Practice these questions on your rough notebook.
Type their solutions in Math Type Software in order to increase your typing
speed.
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Lecture No. 6
Practice Questions
Important Note:
Practice these questions on your rough notebook.
Type their solutions in Math Type Software in order to increase your typing
speed.
For more practice questions, follow the recommended book.
Make a list
Lecture No. 3
Practice Questions
Important Note:
Practice these questions on your rough notebook.
Type their solutions in Math Type Software in order to increase your typing
speed.
For more practice questions, follow the recommended book.
Make a list
Lecture No. 2
Practice Questions
Important Note:
Practice these questions on your rough notebook.
Type their solutions in Math Type Software in order to increase your typing
speed.
For more practice questions, follow the recommended book.
Make a list
Lecture No. 5
Practice Questions
Important Note:
Practice these questions on your rough notebook.
Type their solutions in Math Type Software in order to increase your typing
speed.
For more practice questions, follow the recommended book.
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Assignment No. 4 MTH 301 (Spring 2010)
Maximum Marks: 20
Due Date:8th July 2010.
DONT MISS THESE Important instructions:
To solve this assignment, you should have good command over
Lecture 21 to Lecture 29. Upload assignments properly through LMS, (No