Hello my fellow mathematicians,

I joined the forum today, and I hope to integrate well with this forum. I love science subjects and have made an attempt in doing Biology, Physics, Chemistry and Maths.

I'am in urgent need for help in Mathematics as my college midterm exams are getting nearer (12 days left). I intend on using this thread for posting questions that have significantly hindered my progress:

Here goes:

Differentiating exponentials and logarithms:

Question:

Q1, Given that y = 5/1+e^3x, find the value of dy/dx when x = 0.

Q2,Defferentiate each of the following functions with respect to x.

a, 3lnx^-2

b, ln(x^2+x-2)

c, ln(x(x+1))

d, ln 2x+1/3x-1

Trignometry:

Solve the equation sin2@ = 4sin(@-60), show that 2 . 3cos@ = sin@. Hence find the value of @ such that 0<@<360.

Thank you

Regards

pA