[8] Use the definition f(a +h) – f(a) f'(a) = lim h-0 h To find the derivative of the given function at the given value of a. f(x) = 1/x,a = 2

Q: f(x+h)-f(a) a.) Find the derivative function, f'(x) = lim h-0 b.) Determine the slope of the curve,…

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Q: Determine where the function f(x) is decreasing given the first derivative is: ƒ¹(x) = x²(x + 1)

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Q: Given the function, find the derivative f (x) = -()" 3z 4 3z- 3 12() 3z-4 O None of the Above

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Q: Determine the derivative of f(x) =2x/x2+1 using the quotient rule and find the equation of the…

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Q: Exercise 5: For the following graphs, sketch a graph of the derivative (i.e., you are given f;…

A: Consider the given curve of f(x).

Q: Find the general form of f if f'(x)= -7f(x).

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Q: Explain why the derivative of a 2x – 3 is two, i.e. if f(x) = 2x – 3, then f’(x) = 2. Use proper…

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Q: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

Q: Use the definition f'(x) = f(x) = 6 6 - 6x O-12x² -12x 6 - 12x lim f(x + h)-f(x) h h-0 6x² to find…

A: To find the derivative of the given function

Q: The functionf(x) is Find the first derivative in fa Set up a number line with t increasing,…

A: The given function is fx=3x5-5x4. Find the first derivative of the function by the power rule of…