Question: 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!

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

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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