f(x + h) - f(x) For the function f(x) = 5x? + 12z + 32, find f'(x) using the definition Jim %3D h O 5z O 24r + 32 O 5z + 12 O 10z O 10z + 12

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

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Q: Differentiate: y = (2a° – 4x² + 8)* (2² – 5e³*)²

A: Product Rule of Differentiation : ddx(uv) = ddx(u) · v + u · ddx(v)

Q: Simplified form of F=y +xy+y x z is

A: Simply : F=y+x y+y x z

Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: can you explain for what values of x is f(x)=x3-9x2+9x concave up?

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Q: foex-2X+1, find f (xth)-f(x)

A: The function is given by fx = x-2x2+1 To evaluate: The expression of fx+h-fxh

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: find the equation of the inverse of one-to-one function  n(y) - y^2+9, y≥ 0

A: We know that x = y2 + 9 is a parabola with the vertex at (9, 0). The graph that is shown below…

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

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Q: Evaluate f(x) = 8-X at x = 2. f(2) =

A:

Q: Find and simplify  f(a+h)-f(a)/h , (h does not equal 0) for the following function…

A:

Q: Find the difference of the two functions A(x)=1x-6 and B(x)=x+8x-2 at 6

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Q: f (x) = 2 – 25 V – 4x + 3

A:

Q: f(x) = x4 + x? In order to check even, odd, neither, I need to check to see what f( – x) simplifies…

A: If we have to check either a given function f(x) is odd or even we replace x in the function by (-x)…