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- Find derivatives of the functions defined as follows. y=-4e-0.3x14 - 3 and f(-1)=63. x3 Find f(x) if f'(x)=10xLet h(x) f(x) where f(x) g(x) 2x2 – 4x, g(-2) = 4, and g'(-2) = -5 what is h' (-2)? Do not include "h' (-2) =" in your answer. For example, if you found h' (-2) = 7, you would enter 7. Provide vour answer below:
- The normal to Ax)= at (2, 1) intersects the graph of fex) at another point. What are the coordinates of the other point? (-1,0) (0.-6) (0,-1) none of the aboveIf f(8)=4, f'(8)=-6, g(8)=-4, and g'(8)=1 and h(x)=5f(x)-3g(x) find h'(8) 132 O-33 O 32If f(x)=2x-3, and g(x) is a function such that g"(0) = 4 and (fg)"(0) = -4, then g'(0) = 0-2 02 04. O 00
- Find f'(x) and simplify. X X - 19 f(x) = Which of the following shows the correct application of the quotient rule? O A. O B. O C. O D. f'(x) = (x)(1)-(x-19) (1) [x - 191² (x-19)(1)-(x)(1) [x-19]² (x)(1)(x-19) (1) [x]² (x-19)(1)-(x)(1) [x]²Find (f1)'(3) given the following table of values. f(z) f'(x) 3 1The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). y 15 10 5 -2 4 6. 10 (a) Write an equation for h'(x) in terms of f(x), g(x), f'(x), and g'(x). O h'(x) = g'(f'(x))f'(x) O h'(x) = g'(f(x))f'(x) h'(x) = f'(g'(x))g'(x) h'(x) = f'(g(x))gʻ(x) O h'(x) = f'(g'(x))g(x) O h'(x) = g'(f'(x))f(x) Find h'(3). (If an answer does not exist, enter DNE.) (b) Write an equation for s'(x) in terms of f(x), g(x), f'(x), and g'(x). O s'(x) = f'(g(x))g'(x) O s'(x) = g'(f'(x))F'(x) O s'(x) = f'(g'(x))g'(x) s'(x) = g'(f(x))f'(x) s'(x) = f'(g'(x))g(x) s'(x) = g'(f'(x)){x) Find s'(7). (If an answer does not exist, enter DNE.)