1.) find the equation of the tangent to the following curves at the points indicated...
y = 3cos∆ - 2sin∆ for which ∆ = π/4.
2.) express as a single logarithmic form, 2Lnx + 1/2Ln( x - 1 ).
3.) differentiate with respect to x, using the appropriate rule:
a.) (3 / (x^5)) - (1 / (4x^4)) b.) e^2x / sinx c.) x^2sin3x
d.) sinxcosx e.) (2x^2) / ((2x-1)(x+1)) f.) 4sin(x^2 + 4)^1/2
g.) cos^3(x^2 + 2)
4.) prove f(x) = Lnx , derivative by first principle is f '(x) = 1/x