le Edit View History Bookmarks Window Help deanza.instructure.com C Problem.. LART. "/ Word... LT Langu... My Ho.. c Cenga... Googl.. G maus... $4 (3.4, 3.5, 3.6)-2.pdf & Download @ Info lover X_Close le at x Page of 2 10 - ZOOM + x =0 d. At what times is the acceleration of the object zero? What do you notice about the velocity of the object at those times? illy sketch 6. Find the derivative of the following functions. a. y = tan x sin x b. y = = _cost 1 + sin t c. y = 02 sec 0 d. y = Vx+2 e. y= csc ((t2 + 1) 3 ) f. y = cot2( Vw) ctions using () =5VC - 7. Consider the graphs of f and g as given. Let h(x) = g (). 4) = 24- 31 41 + 1 9 a. Find h (x), the derivative of h(x). are as shown. b. Evaluate h'(2) c. Evaluate h'(4). 0 1 (in "F) at an elevate context of the probl O MacBook Pro 44 DII DD 20 F7 F9 @ 6 8 9 N 3File Edit View History Bookmarks Window Help deanza.instructure.com C LART. "i Word... LT Langu.. My Ho... C Cenga... Googl... Problem.. @ Info PS4 (3.4, 3.5, 3.6)-2.pdf & Download Page 1 of 2 ZOOM + 1. Use the fact that V125 = 5 and the derivative of the function f(x) = Vx to estimate V120. Show your work carefully. 2. The profit function for a skateboard manufacturer is given by P(x) = -0.4x2 + 35x - 200, where x is the number of skateboards produced and sold. a. For what values of x is this business profitable (profit is positive)? Show work. b. Find the marginal profit function. c. Evaluate and interpret the marginal profit after manufacturing and selling 30 skateboards. d. Evaluate and interpret the marginal profit after manufacturing and selling 70 skateboards. FEB MacBook Pro 20 F3 F6 DII F4 F7 FB @ # $Edit View History Bookmarks Window Help of 2 ZOOM + 3. Use the limit definition of the derivative to prove that - (cos x) = - sin x. You may use any trigonometric identities and the fact that lim sinh = 1 and lim cosh - 1 #4 = 0. h-o h h-0 h 4. Use the quotient and reciprocal identities from trigonometry, as well as what you know about the derivatives of sine and cosine functions to prove the following results. ctions a. ax (cotx) = - csc2 x dx (sec x) = sec x tan x 5 . An object travels along a straight line. Its position function is given by s (t) = t - 2 + 2 cost. The position is measured in feet and time 0