3. Determine the derivative of each of the following AND simplify FULLY! a. f(x)=. 2x³-1 x² 2 b. y=(7x²+4x+1)³ 3 d. f(x) = x² f(x) = x²² 3 y= (x-2)³ (x²+9)* C. y=(x*)2* f. y = (sin 2x)e³x

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Find the derivative of the function. 4. Az) = 6x (9 - 8x)* O (-12x) (9 - 8x)(6x-9) O (-182 )(9 - 8x) (8x – 9) O 48x(9 - 8x)3 3 (- 36x) (9 - 8x) (8x- 3) O (12x) (9 - 8x) (6x- 9) « Previous

Use the product rule to find the derivative of the function. y=(3x²+5) (2x-5) What is the correct way of writing the derivative of y? dy d OA. (3x²+5) (2x-5) dx (3x²+5)•(2x-5) = (3x² +5) • (2x-5) + (2x-5) • (3x²+5) dy O B. dx dy O c. dx dy d ( = (3x² +5) • (2x-5) + (2x-5)•(3x²+5) ○ D. dy dx dx = 則 dx d dx dx d d dx - (3x² +5) • 1x (2x-5)+ + (2x-5) • (3x²+5) dx dx