i) find dy/dx in terms of y (by differentiating both sides with respect to x)
ii) find dy/dx in terms of x (using the fact that (cos y)^2 +(sin y)^2 = 1)
b) Use part a to find dy/dx in terms of x when y = cos^(-1) x
2. a) Given that x = tan y,
i) find dy/dx in terms of y (by differentiating both sides with respect to x)
ii) find dy/dx in terms of x (using the fact that 1 + (tan y)^2 = (sec y)^2 )
b) b) Use part a to find dy/dx in terms of x when y = tan^(-1) x.
更新1:
One more question to go... 3. A population of flies P is given by the formula P = A e^( - kt ), where t is the time in days measured from a time when P = 2000 a) Write down th vlue of A b) Given that P = 500 whwen t = 5, show that k = (1/5) ln 4, c) Fine th value of P when t = 8 days.
更新2:
Correction!! 3a) Write down the value of A
