The chart below gives information about the derivative of a function f (x). f'(x) + + + +0---0- 4 0 The function f in the interval 0 < x < 4 have: [Select] . 1 . [Select] + 2 - local maxima/maximum local minima/minimum -- 0 ++++ 3 4

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: Find all relative extrema of the function f(x)=4x*— 32x³ + 3. Use the Second Derivative Test where…

A: To find all relative extrema of the function fx=4x4-32x3+3.

Q: Find the x-coordinates of all of the points on the graph of f (x) where the derivative equals 0.…

A:

Q: 3. Use the graph of y = f(z) to sketch the graph of its derivative f'(x). -2 -1 16- 12+ 8 4+ ܕ <-4…

A:

Q: what is an example of a composite "function-in-a-function" and find its derivative using the chain…

A: We have to give an example of composite function, and find the derivative using the chain rule

Q: Determine the slope of the secant line for the following function that passes through the given…

A: Topic = Functions

Q: If f is the function whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x²). Use the graph of f…

A: Given:   Given: hx =ffx  , gx =fx2 To find : h'2 , g'2

Q: The derivative of the function is equal to Select one: O a.e (2* In 2) b. e* (2* In 2 + 1) c. x(2*…

A: Given function is By using the law of exponents x^m/x^n=x^(m-n), we get Differentiating with…

Q: Let f be a function defined on the closed interval -5 s x S5 with f(1) = 3. The graph of f', the…

A: Given  The graph of f'  the derivative of f , consist of two semicircles and two line segments .The…

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

A:

Q: Q1/ Find f-1(x) , identify the domain & range of f-1(x), then show that f(f-"(x)) = f"(f(x)) = x for…

A:

Q: Let f(x) be a one-to-one function with the point (-1,2). If f'(-1) = 12, then find f-1(2)

A: fx be the one-one function having the point -1,2 and f'-1=12. So the inverse function is f-1(y)=x if…