Find the slope of the following curve at x = 4. 'l y=xl U The slope of the given curve at x = 4 is D. (Simplify your answer.) Find the value of the derivative. dy if y = 7 - 3x2 dx Ix= - 4 2 dy E dx (Simplify your answer.) X = -4Graph the derivative of the function graphed on the right. W Choose the correct graph below. O A. O B. O c. Ay OD. AV & X QFind the derivative of the function. 9PW r= 5w dr dwV - ' I l - I The equation for free fall at the surface of some planet (5 in meters, t in seconds) is s = 6.16t2. How long doe g from rest to reach a velocity of 29 m/s on this planet? It takes sec for a rock falling from rest to reach a velocity of 29 m/s. (Round 0 he nearest tenth as needed.) \fdp sin q - cos q Find for p = dq sin q dp E dqdy Write the function in the form y = f(u) and u = g(x). Then find a as a function of X. y: e- 20x Which of the following has the function in the form y = f(u) and u = g(x)? U {1:}. A. y=e ,u= 20x {1;}. B. y = e\Find the value of (f e g)" at the given value. f(u)=u7+7, u=g(x)=, x=1 '9 (fog)'(1)=D (Type an integer or a simplified fraction.) \fdr Use implicit differentiation to find do sin (re3) = 13 NI dr deWhen a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min. At what rat NeXt questlon increasing when the radius is 54 cm? The rate of change of the area is cm2/min. \\w (Type an exact answer in terms 0 It.) Find a linearization that will replace the function over an interval that includes the given point x . Center the lin Next question but at a nearby integer, x = a, at which the given function and its derivative are easy to evaluate. f ( x ) = x + 10x, X0 = 0.01 15 Set the center of the linearization as x = L(x) =\fW. K+ for 4 3 flash f ( x) d x = h = h f ( x ) s' ( ) SO I (2x - 1) - 1 dx = (- 1) (X- 1) 15 ( 1 ) = - 1 (x - 1 ) - ? = (C - 1 ) ? S = 6.16 + ? velocity = ds is given 29 m/s SO , ds - 1 = 6.16 x 2 + = * = 2.4 sec P sing - cos q sing P = Sing - Cos 9 sing sing P 1 - Cox q cot x = = (opec x so dp = cosedy1 = Cosec + differentiate both side wind. 2 (xx ) = cosect 1 = - Cosecy coxy Conecy coty dy Siny - siny tany 14 ) given that let radios = 1 = 54 CM Radius increase nate wind. time an = 0. 02 wikt. area of circle A = OR Rate of change of crea win.d. time = n 2 / JA = TI X 2 x 54 X 0. 02 JA = 2.16 n CM? Min