Consider the following table, and assume that f(x) and g(x) are differentiable functions with values as given. x 1 2 3 4 f(x) {A} {B} 9.2 {D} g(x) {E} {F} 9.8 {H} f'(x) {1} {J} 4.3 {L} g'(x) {M} {N} 3.8 {P} Calculate h'(3) if O a. -0.42 O b. -1.08 O c. -0.20 O d. 0.06 O e. This derivative does not exist O f. 1.71 1 g(x) X f(x) h(x) = =+

Q: 1. Find the general form of f if f'(x) = 4(x).

A: We have to find the general form of the function f if f'x=4 fx. Rewriting the given equation, f'x=4…

Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

A:

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: Use the values given in the table for differentiable functions f and g to answer the following ques-…

A: a) Q(x) = 2g(x) + f(x) No differentiate above w.r.t. x  We get  Q'(x) = 2 g'(x) + f'(x).   Now for…

Q: Determine if f(x) is differentiable at x = 0 if

A: We will find out the required solution.

Q: Differentiate the function. R(a) = (6a + 1)² R'(a) = 12 X

A:

Q: C. Solve the following problem. 1.) Find (fg)' if f(4) = 3, f'(4) = 2 , g(4) = -6, and g'(4) = 8.…

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Q: Consider the following functions: f(x)= x+1' and g(x) = Find the domain of (f og)(x). Enter your…

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Q: Consider the function. f(x) = x3 − 6x2 + 4 a. Find  f '(x). b. Find f ''(x). c. Find f ''(−6) and f…

A: We know that  d(xn)dx=nxn-1

Q: 2. Given the function f defined by f(x) = 2x + 3x - 1, find: a. f(0) b. f(1/2) c. f(-3) d. f(3 - x')…

A: f(x) = 2x2+3x-1

Q: . The derivative, f', of a function f is plotted below. At approximately what value of x does f…

A: The derivative, f′, of a function f is plotted below. At approximately what value of x does f reach…

Q: Let f and g be differentiable. Using the given information, compute for K'(2) when K(x)=f(x)g(x).

A: given K(x)=f(x)g(x) To find : K'(2)