1. Pupils able to know the facts about logarithmic functions like- definition- properties-sketching
2 Pupils able to find derivative of natural logarithm and apply in fucntions involving llogarithm.
3. Apply the derivative of logarithm in solving problems involving tangents, rate of change, maximum minimum values etc.
1. What is the domain of lg x?
2. Whatis the range of ln (2x+1) ?
3. What is the domain of lg (1-3x)?
4. Find the x intercepts of y = lg (1-3x),
lg( x+3).
5 Find the derivative of
i) sin x ln(6x +3).
ii) lg (2x+1)
iii) ln( x cos x)
6. Skectch the graph of lg(x+1). Hence solve the equation 2x-3 = lg(x+1)
Home Work
Do the exercise no 19.2 on page number 386
Question nos 5 , 6 and 7
2. Differntiation of exponential functions.
3. Rules of differentiation like product rule, Chain rule , Quotient rule, etc.