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Q: The rule of the derivative of a function f is given below (but not the rule of f itself). Find the…

A: f'(x) = (x - 1)(x - 6)(x - 8)  => f"(x) = (x - 1)(x - 6) + (x - 1)(x - 8) + (x - 6)(x - 8)  Now,…

Q: what for is the symbolic representa f(x), f(x) = 8x X+7 Find the inverse f='(x) = of f.

A:

Q: f and g are differentiable functions that sum is a constant ( f (x) + g(x) = k for all x) what can…

A: The sum of two differentiable functions is differentiable.

Q: Given the graph of y = f(x) sketch the graph of f'(x) 2 -2 -2

A: Given: The graph of fx as follows:   To sketch: The graph of f'x

Q: f(x) f'(x) x100

A:

Q: Consider the graph of the function f(x) = x*. Which change in the function rule will translate f (x)…

A: topic- transformationof a function

Q: How and why does the concavity of f(x) affect the positive and negative intervals of f''(x)?  How…

A: if the concave is up then f'(x) is increasing and f"(x) will also be increasing and concave will be…

Q: f(x)-x^3-x+1, a tangent line is drawn to f at x= -1. Using the equation of the tangent line,…

A:

Q: Example: Give an example of a function and a value a so that f"(a) = and (a, f (a)) is not an…

A: The objective is to give an example of a function and a value a so that f"(a)=0 and (a,f(a)) is not…

Q: Let f(x) = x³ + 3x² - 24x + 25. (a) Use the definition of a derivative or the derivative rules to…

A: Given function is fx=x3+3x2−24x+25. a Differentiate fx=x3+3x2−24x+25 with respect to x…

Q: Let f(x) be the elevation in feet of the Mississippi river x miles from its source. (a) What are the…

A: Here, f(x) is the elevation in feet of the Mississippi river x miles from it's source.