x²+4 Let: f(x)= - 16x f'(x) = - f"(x)= 16(3x2+4) x² –4° (x²–4)² ' (x² –4)° 5. Sketch the graph of f, label all important points from part (1), (2) and (3).

☐ 2. The figure below shows the graphs of f(x), f'(x), and ƒ"(x). Identify each ☐ 3. The figure below shows the graphs of f(x), f'(x), and f" (x). Identify each curve. orange Choices f(x) blue f'(x) black ƒ"(x) -2 black Choices blue orange R f(x) f'(x) f"(x) 6. The figure below shows the graphs of f(x), f'(x), and f" (x). Identify each curve. -2 black Choices f(x) blue f'(x) orange ƒ"(x)

Use the graph of f and g. p(x) = f(x)g(x) g(x) = f(x) g(x) -2 10- 8 6 2 0 (a) Find p'(8). p'(8) = (b) Find q'(1). q'(1) = 2 4 X f 8 g 10

Differentiate the function. y' || 3 2 y = 3√√√x + 4x 2x² -(³) - 52 4 (-2)

if f(x)=cospix, find the extact value of a such that f(1)-f(-1)/1-(-1)=cos a.

Q4) Graph the following functions and determine (domain , range): (a) y=2sin (b) y=2+ cos (x+) (c) y= 2+ vx+2 (d) y=/x- 4/

2. Sketch the graph of y = f(x) when, (a) f(x) = ex+2, (b) f(x) = Inx, (c) f(x) = = xx -x, (d) f(x) = X x +4' and (e) f(x) = secx.