Consider the following table, and assume that f(x) and g(x) are differentiable fund as given. X 1 2 3 4 f(x) -4 8.1 2.9 -9.1 g(x) -0.4 8.8 -2.6 -7.3 f'(x) -5.2 -6.2 -2.1 4.4 g'(x) -2.4 1.9 2.7 -9.8 Calculate h'(3) if O a. 8.50 O b. 15.70 c. 8.50 O d. This derivative does not exist O e. -11.20 O f. 7.40 h(x) = xf(x) + 4g(x)

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

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Q: f(x) g(x) h(x) = ;a = 3 f(x) f'(x) g(x) g'(x) 0. 2 0. 2. -1 3. 7. -7 7. h'(a) = %3D 3, 2. 2. 5. 2.…

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Q: 9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

A: