Find the following using the table below. `x 1 2 4 'f(x) 1 3 4 'f'(x)` 2 1 `g(x) 1 3 4 `g'(x) 4 1 'h'(2)` if `h(x)=f(x)*g(x)` Preview `h'(2)` if `h(x)=f(x)/(g(x))` Preview `h'(2)` if `h(x)=f(g(x))` Preview 3. 3.

Q: Let ƒ'(x) = ƒ'(2) = f(x) = (x³ + 4x + 8) ²

A: f(x)=(x3+4x+8)2 d dx(xn)=nxn-1d dx(constant)=0

Q: It is known that the function f(x) = x-1 and g(x) = 1/x (where x is not equal to 0). Define the…

A: The detailed solution is given below Thank you

Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) > 0 and f"(x) <…

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Q: Consider the following table x f(x) g(x) f'(x) g'(x) 5 0 2 0 2 11 -2 3 2 4 4 1 -1 33 -3 2 3 What is…

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Q: 9. From "First Principles" show that if f(x)= == 2 x²-3' then f'(x) = - 2x (x² - 3)²

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Q: Let g(x) be a continuous function and let g(") (x) be the n-th derivative of g(x). Find an example…

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Q: w(x)=(x^3+1)^4 /(x−2)^5 w′(x)=(x−2)^F(x^3+1)^G[Hx^2(x−2)−J(x^3+1)]/(x−2)^K F= G= H= J= K=…

A: Finding w'(x)

Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: Suppose the derivative of f is f'(x) = (x + 1)*(x - 2)*(z- 3). On what interval is f increasing?…

A: A function f(x) is said to be increasing in an interval of it's derivative is positive in that…

Q: Pls help ASAP

A: The given information:To Sketch: The graph of the function with above information.

Q: 1 If f(x) 1 then x2 f'(2) = |(2x^2+6x+12)/(x^5) Preview

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Q: Shown is a graph of y=f(x) Evaluate f^-1(1)

A: Given, y=f(x) Graph

Q: Let f(x)=3x+1/9x+3 Find f^−1(x) (inverse)

A: Inverse of f is calculated by replacing X and y by each other and finding x in terms of y.

Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: 3 5. If f(x) = and g(x) = 4*, find: X-4 a) f-¹(g(x)) b) the domain and range of f-¹(g(x))

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Q: Sketch the graph of a function that satisfies all of the given conditions. f'(0) f'(x) > 0 if x 4,…

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Q: Pls help ASAP

A: To Sketch: A graph of a function with the given information:f'(x)&gt;0 when x&lt;-2, and when…