Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions along with explanations of the intermediate steps that demonstrate your understanding of the derivative.

1. LaTeX: \left(4x+6\right)\left(9x-5\right)
2. LaTeX: 4x^2\left(3x^3-2x+5x\right)
3. LaTeX: \left(3x^2\:-x\:+1\right)\left(7\:- \:x^6\right)
4. LaTeX: \left(h^3\:-\:5\right)\left(3h^2\:- \:5h\:-\:4\right)

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

i'm not really sure how to answer that

step-by-step explanation:

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.