In Exercises 41 – 46, confirm your results with a graphing utility. 41. For the function f(x)= x³ + 2x – 4, find: The slope of the tangent line at x = -1. b. The equation of the tangent line at x = -1.

Q: 5) Chapter 3.3 Find the second derivative of f and discuss the concavity of its graph. a. f (x) =…

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Q: Ax) Consider the functions = 3* g(x) : %3D and x*. Determine

A: Consider the functions f(x)=13x and g(x)=1x2. We have to determine the value f112-g15.

Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: Sketch a function where ?′(?) > 0  and ?′′(?) > 0 always and passes through the point (0,1).

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Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

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Q: Use the graphs (see attached) of f and g to find (f + g)(-3).

A: we know that f+gx=fx+gx so, according to given graphs f+g-3=f-3+g-3=4+1…

Q: Differentiate the function.   f(x)  = x In x -x

A: Given, fx=x ln x-x

Q: X+200p=10,000  X>0 P>0 express the revenue (price times units sold), R, as a function of p. R=

A: Given that

Q: . Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm²…

A: We have to find the area of the bacteria coloney as a function of time at the gives instances.