1) 2) 4) ) 6) 7) 8) Prove (with an proof): liml(x3 + 3x% 4x 12) = -6 xo Prove: [f(x)g(x)) = f/(x)g(x) + f(x)g/(x) sinx Find the limit: lim x0 lcosx Find f/(x) using the definition of derivative (not a formula for taking derivatives): f@) == 1+csc(x?) Find f/(x) and simplify: f(x) - 1cot(x?) Find f/(x). Do not simplify your answer: f(x) = cos*(cscVl x3) Find y// and simplify. Do not leave a y/ in your answer. x3y3 4 =0 1 Use a linear approximation to estimate 80#. (this is an eighty with an exponent of one fourth.) Answer with a fraction, not a decimal