NEED HELP WITH SCREENSHOTS 12 TO 16! EVERYTHING YOU NEED ARE IN SCREENSHOTS! PLEASEE REMEMBER TO NUMBER THEM SO I KNOW WHERE YOUR ANSWERS BELONG!! THANK YOU SO MUCH!!!!!!!

12 Find f'(x) and nd the equation of the line tangent to the graph of f at the indicated value of x. f() x 1 x =, x: (2x1)7 f'(x) = The equation of the line tangent to the graph of f at x=1 is y= |:|. Enter your answer in each of the answer boxes. (A) Differentiate the given equation implicitly and then solve for y'. (B) Solve the given equation for y and then differentiate directly. 6x2-5y-8=0 (A) First, differentiate 6x2 - 5y - 8 = 0 implicitly, term by term. (1 am = d 3(5)!) = Using these answers, nd y'. I y: (a) First, solve 6x2 - 5y- 8 = o for y. y- Take the derivative of the function just obtained. [ y- Enter your answer in each of the answer boxes. 14 A rock is thrown into a still pond, The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 3 feet per minuie. Find the rate at which the area is changing at lhe instant the radius is 15 feet. When the radius is 15 feet, the area is changing at approximately D square feet per minute. (Round to the nearest thousandth as needed.) Enter your answer in the answer box. 15 Match the graph of f with the correct sign chart. Af ( x) 10- X HI Choose the correct sign chart below. OB. f(x) OA. f(x) + + + ND - - -0+ + - X X 5 5 O c. f(x) - -ND + + OD. f( x ) + + +0- -> X X 5 5 Click to select your answer. Next16 f(x) is oonnuous on (- (30,60). Use the given information to sketch the graph of f. F(X)++++0++++0- x 18 -18 4 _ 4 2 m 5 1b 1.f d n 0: 1m .9 m Mm it e s 0 0 h C 00. A O Click to select your