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Use the quotient rule to find the derivative of the following. Bx + 5 y= X 2 +3Find the derivative of the given function. r = sin 1010 dr do (Type an exact answer, using it as needed. )\f\f\fFind the derivative of the given function. y = 7 cos xsec x" Choose the correct answer below. O A. dy dx = 14 secx (x cos xtan x - sinx) O B. dy dx =7 sec x cos x (2x tan x2 -1) O C. dy dx =7 sec x (2x cos x tan x - sinx) O D. dy dx = 14 secx ( 2x sin x tan x - cos x)Evaluate the limit (if it exists). Use L'Hospital's rule (if appropriate). lim In cos 2x X-+0 9x Select the correct choice below and fill in any answer boxes in your choice. O A. lim In cos 2x 9x (Type an integer or a simplified fraction.) X+0 O B. The limit does not exist.Find the derivative of the function by using d(uv) Ou dx + dx dx Then multiply out the function and find the derivative by treating it as a polynomial. Compare the results. y = (3x - 4)(5 - 4x) Find y' using the product rule. y' = 31 -24x Multiply the function out, simplify the resulting polynomial, then find the derivative