-9, f' (-1) = 0, 6. f (–1) = – f (2) = -1, f' (2) = 3, f (5) = 4, f' (5) -1

Q: Explain how the first derivative of a function determines where the function is increasing and…

A:

Q: What is an instance where a function doesn’t have the same domain as its derivative? Give an example…

A: The domain of a function f(x) is the set of all the x-values for which the given function is…

Q: Sketch the derivative of the graph given (with explanation)

A: Since, the polynomials are defined over entire real number line, they are simple and smooth(i.e.,…

Q: Explain the relationship between a function and the derivative by providing an example.

A:

Q: Find the derivatives of the functions in Exercise

A: Given: r=21θ+θ We know that ddxxn=nxn-1                                                        ..1

Q: Find the derivatives of the functions in Exercise

A: The given function is u=5x+12x.

Q: What is the rule for calculating the derivative of a composition of two differentiable functions?…

A: Let f(x) and g(x) be two differentiable functions and their composition is

Q: 7. f(x)= (4x²-3x5)7

A:

Q: determine a function by being given the function’s first derivative and an initial condition for the…

A:

Q: R(w) = w? 8w + 20

A: Derivatives are one of  the fundamental tools of the calculus. In mathematics, derivatives are the…

Q: Describe how to use the second derivative test to find relative maximum and minimum values of a…

A:

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: Find the derivatives of the following functions as specified: 1. h (2) = (9z +4)*, h®(2) 2. g (x) =…

A: We know that ddxxn = n·xn-1 ddxf(x)n = n·f(x)n-1·ddxf(x)      (using chain rule) ddxu·v = u·ddxv +…

Q: What do you mean by function .do you think limit of a function leads to find the derivative of a…

A:

Q: -2x sinky sitlecex) -10

A:

Q: Estimate the input value(s) where the function has a relative extreme point. Identify each relative…

A: At x=0.5 and x=2 there are local maximums and the curves are smooth there (no cusp).So there f \'…

Q: Please provide a clear example of real life computation and application of derivatives

A: There will be several real life examples of the application of derivatives. some of them listed…