Suppose the linear approximation for a function f(x) at a = 3 is given by the tangent line y -2x + 10 What are f(3) and f '(3)? f(3) f '(3) -2 If g(x) [f(x)]2 , find the linear approximation for g(x) at a 3 = (x)7 X

Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: Let f(x) be a one-to-one function such that f(2)=5 and f'(2)=-4.  Find f(-1)'(5)

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Q: The tangent line to the graph y = f(x) at (-4, 7) passes by the point (-1, 13). Find the value of f…

A: The slope of a line passing through the points  is given by the formulaThe Tangent line to a…

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: (

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Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: Suppose that Find f'(x). f'(x) f(a+h)-f(x) = -8ha² - 1hr8h²z5h² +6h³.

A: To find the derivative

Q: hen f has points of inflection when x =

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Q: Can you show the work for exponents, How did (x^3-x)/sqrt(x) = to x^3-1/3 - X^1-1/2 = x^5/2 - x^1/2

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