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If you could show your work and provide a brief explanation, that would be great. Thank you! Consider the following picture and use it to

If you could show your work and provide a brief explanation, that would be great. Thank you!

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Consider the following picture and use it to answer questions 15 and 16. Let the red graph be f(x) and the blue graph be g(r). 15. If h(x) = f(x)g(r), what is h'(3)? A) -21 C) -6 E) None of the above. B) -9 D) 12 16. If h(x) = f(x) - g(x), what is h'(0)? A) -15 C) -6 E) None of the above. B) -9 D) 15For questions 17, 18, and 19 assume that f(x) and g(x) are both differentiable functions with values as given in the following table. 3 f(x) 3 5 -2 0 g (X) 2 3 -4 6 f'(x) -1 7 -3 2 17. Let h(x) = f(x) + g(x). What is h'(4)? A) -2 C) 1 E) None of the above. B) 0 D) 2 18. If h(x) = x+ 42, what is h'(4)? A) E) None of the above. B) 0 D) 1 19. If h(x) = (g(x))', what is the equation of the tangent line to h(r) at r = 1? A) y = 4r - 8 B) y= -16x - 18 C) y = -8x + 16 D) y = 161 - 12 E) None of the above

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