July 7, 2014

I forgot yesterday, so here are two limits problem to make up for my forgetting about yesterday.

Find the derivative of:
f(x) = 3x³+2x²-(7x³)/4

What are the limits of:
f(a) = (4a² - 3a)/(5a³-7)

Solution 1:
f'(x) = 9x⁹ + 4x -21x²

Solution 2:
The denominator = 0 when a = (7/5)^(1/3), or 1.1187 to the nearest ten thousandth.