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KK LEE Booklet Solution

STPM MT Functions Booklet A Page 5 Problem

By KK LEE

June 18, 2015

KK LEE STPM Mathematics Booklet Chapter 1 Function Answer

STPM 2016 Mathematics Term 1 Functions A Booklet Solution

Below are the sample solutions of the my STPM 2016 Term 1 Mathematics Chapter 1 Functions A booklet at page 5. The questions are about natural domains and corresponding range of some functions. You can solve all the questions by sketching a simple curve.

MT Booklet 1A Question a
MT Booklet 1A Question b
MT Booklet 1A Question c
MT Booklet 1A Question d
MT Booklet 1A Question e
MT Booklet 1A Question f
MT Booklet 1A Question g
MT Booklet 1A Question h

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STPM MT Chapter 8 Booklet A Page 20 Problem 11 Question 14

KK LEE Booklet Solution

Given that $y=\sec^{-1}(e^x)$ , prove that $\frac{dy}{dx}=\frac{1}{\sqrt{e^{2x}-1}}$ .

STPM MT Chapter 8 Booklet A Page 20 Problem 11 Question 11

KK LEE Booklet Solution

Given that $y=(\sin^{-1}x)^2$ , show that $(1-x^2)\frac{d^2y}{dx^2}-x\frac{dy}{dx}-2=$ 0.

STPM MT Chapter 8 Booklet A Page 20 Question 6

KK LEE Booklet Solution

Given that $y=\ln(1+x)-x+\frac{1}{2}x^2$ show that $\frac{dy}{dx}>=0$ for all values of $x>-1$ .

STPM MT Chapter 8 Booklet A Page 20 Question 10

KK LEE Booklet Solution

If $\sin y = 2 \sin x$ , show that (a) $(\frac{dy}{dx})^2=1+3\sec^2 y$ , (b) by differentiating (a) with respect to $x$ , show that $\frac{d^2y}{dx^2}=3\sec^2 y \tan y$ , and hence that $\cot y \frac{d^2y}{dx^2}-(\frac{dy}{dx})^2+1=$ $0$ .

STPM MT Chapter 8 Booklet A Page 20 Question 8

KK LEE Booklet Solution

Given $y=\ln(\sin px + \cos px)$ . Prove that $\frac{d^2y}{dx^2}+(\frac{dy}{dx})^2+p^2=0$ .

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Book, Functions, MT Term 1, Proving, STPM 2016, STPM MT

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KK LEE

KK LEE has been a STPM Mathematics tuition teacher since June 2006, but his love of Maths dates back to at least 1999 when he was Form 4. KK LEE started teaching in 2006 at Pusat Tuisyen Kasturi. He was known as "LK" when he was teaching in PTK. After teaching STPM Mathematics for 8 years in PTK, he joined Ai Tuition Centre in 2014. Over the years he has taught Mathematics (T), Mathematics (S), Mathematics (M), Additional Mathematics.

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kklee@kkleemaths.com

STPM MT Functions Booklet A Page 5 Problem

By KK LEE

STPM 2016 Mathematics Term 1 Functions A Booklet Solution

STPM MT Chapter 8 Booklet A Page 20 Problem 11 Question 14

STPM MT Chapter 8 Booklet A Page 20 Problem 11 Question 11

STPM MT Chapter 8 Booklet A Page 20 Question 6

STPM MT Chapter 8 Booklet A Page 20 Question 10

STPM MT Chapter 8 Booklet A Page 20 Question 8

Old Syllabus STPM Book For Sale

KK LEE

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+6018-2016992

kklee@kkleemaths.com

018-2016992

STPM MT Functions Booklet A Page 5 Problem

By KK LEE

STPM 2016 Mathematics Term 1 Functions A Booklet Solution

KK LEE

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