- Type
- Midterm past paper
- Course
- MTH101 Calculus And Analytical Geometry
- Size
- PDF 162 KB
- Updated
- 23 Oct 2026
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Text from pages 1, 2, 4 of 8. Download the file for all 8 pages.
Q1. If f is a twice differentiable function at a stationary point (1 marks)
0x and f x then f has relative …………. At 0x
Q2. If f is a twice differentiable function at a stationary point (1 marks)
0x and f x then f has relative …………. At 0x
Q3. A line (1 marks)
y y is called a ………………. for the graph f if lim lim x x f x y or f x y
Q4. If (1 marks)
f x x x then f x
x + x +
x x x x
Q5. (tan (1 marks)
d x dx
sec x sec co x
sec co x
Q6. If (1 marks)
xy = then dy dx =
x
x
x
Q7. If (1 marks)
x y then dy dx =
Q8. [sec ] (1 marks)
d x dx
1 sin x
sin 1 sin x x
1 sin x
sin 1 sin x x g f f g f
g f f g f
Q12. [cosec ] (1 marks)
d x dx
1 cos x
cos 1 cos x x
cos 1 cos x x
1 cos x
Q13. If (1 marks)
y f g h x
u g h x
v h x then dy dx =
dy du dv du dv dx
dy du dv du dv dx
dv du dy du dv dx
Q14. Chain rule is a rule for differentiating ___________ of functions. (1 marks)
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