State whether f (2) and f (4) are local minima or local maxima, assuming that Figure 14 is the graph of f'. FIGURE 14

Q: Suppose g is a continuous DECREASING function on the interval [-3,1].

A: 2. As y is a continous decreasing function on the interval -3, 1

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Given that the graph of f passes through the point (1,9) and that the slope of its tangent line at…

A: Slope of the  tangent line to the  curve  y = f(x) is f '(x)

Q: Find the global extrema of f(x)=√5−4x on the interval [−1,1].

A:

Q: Given the graph of the derivative f'(x) shown below, which one of the following statements regarding…

A:

Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

A:

Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

A:

Q: Find a function f such that f (x) = 2x3 and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A: Key point used: The slope m, of the tangent to f(x) at point h,k, is equal to f'x=h. Given:Eq of…

Q: . How many point(s) of inflection are on che graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x² -…

A:

Q: Find the directions in which t and decrease most rapidly at function in those directions.

A: given function fx,y,z=lnxy+lnyz+lnxz           =2lnx+lny+lnz             ∵lnxy=lnx+lny to find in…

Q: Show analytically (that is, without reference to a graph) that h(x) = v1 + x is always increasing,…

A:

Q: Find the total number of extreme points for the function f defined as, S-(x* +1)if xs1 f(x) = |(x-3)…

A: Given that, f(x)=-x2+1 if x≤1x-32    if  x>1

Q: Sketch a graph of the function f(x) = 0.5 sin(3x). 4+ 2 -5/6 -27/3 -T/2 -T/3 -Tt/6 T/2 2/3 5/6 -1 -2…

A: Here is the solution

Q: .Find the Global Extrema for f(x) = Bx4-BeB-A)x. Use the second derivative to determine if those…

A:

Q: For f with derivative as in Figure : (a) Is f (c) a local minimum or maximum? (b) Is f a decreasing…

A: The function has local maxima or minima depending upon the first derivative as, If the sign of first…

Q: 1- at 9=0

A:

Q: Find a function f such that f'(x) = 2x³ and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A:

Q: Determine {f],where the periodic function is described by its graph. 19 2a 3a 40 (1-as) (1-) 1.…

A:

Q: Use the limit formula for the derivative of a function at a point to find f'(-3) for f(r) = 2r2 – r.

A: use limit definition to find the value of derivative.

Q: Sketch a graph of the function f(x) = 3 sin(3x). 4 -5/6 -2/3 -/2 -T/3 T/2 2t/3 5t/6 -1 -2 -3 3. 2.

A: Sketch a graph of the function  f(x) = -3sin(3x)

Q: find the critical points and determine whether they are minima, maxima, or neither g(θ) = sin2 θ + θ

A: For critical points, Equate the derivative of the function to 0. Here, g(θ)=sin2 θ+ θ

Q: Use the derivative ƒ' to determine the x-coordinate of the local maxima and minima of ƒ, and the…

A: f'x=16x+1x-22x-3 Substitute the above derivative to zero. f'x=016x+1x-22x-3=0x=-1,3,2multiplicity 2…

Q: Consider the following curve. X - 5 F(x)

A:

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: Let f(x)=x^3-4x^2. Find the points on the graph of f where the tangent line is horizontal.

A: f(x) = x3 - 4x2Horizontal tangent when f'(x) = 0differentiate f(x) with respect to 'x'f'(x) = 3x2 -…

Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

A: Given query is to find f(2) and f'(2)

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: Find the roots of f (x) = x4 − 4x2 and sketch its graph. On which intervals is f decreasing?

A:

Q: Determine the equation of the function f(x) if it has a hole (point of discontinuity) at (6,3) and a…

A:

Q: find a point c satisfying the conclusion of the MVT for the given function and interval.

A: Given ,y = Cos x - Sin x      0,2πf(x) = Cos x - Sin x

Q: Find k such that the line is tangent to the graph of the function.

A: f(x) = k−x²and the given line is y= −8x+5slope of the line = −8Now f'(x) = −2xtherefore,  −2x = −8…

Q: Graph the function f(x) = 2csc r over a one-period interval.

A: The given data is: fx=2 cosecx      (1) To graph the function over a one-period interval.

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: Consider the given function as fx=100x,and gx=xx

Q: Use the derivative ƒ' to determine the x-coordinate of the local maxima and minima of ƒ, and the…

A: We have the derivative as ƒ'(x) = (x - 1)(x + 2)(x + 4) put f '(x)=0   so,  x=1, -2, -4 sign of f…

Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

A:

Q: Let f(x) = V5x + 2. Find the derivative f'(x) using the limit definition.

A: We have to find derivative

Q: The graph of f"(x) , the second derivative of f, is shown below. If the point (2, f(2)) is a…

A:

Q: Give the formulas for the piecewise function graphed at right. if f(z) if %3D if CS dwith CamScanner

A: The left-most part is a line joining (-5,3) and (-3,6)   Using the two-point formula we get:…

Q: Suppose you know that the equation of the tangent line to the graph of a function f at x = -2.5 is y…

A:

Q: Sketch a graph of the function f(x) = – 2 sin (x + 4) +: + 1. 5+ 4 3- -37/2 -5/4 -3/4 -T/2 -TU4 3714…

A:

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

A:

Q: The equation of the tangent line for the function f(x) = -8 – 5x at a = 8 is %3D y = -5(x + 8) + 48…

A: Given that      f(x) = -8 -5x at x = 8 We have to find the equation of the tangent line for the…

Q: Consider the following function. f(x) = x* + 4x3 + 11 (a) Make a sign diagram for the first…

A: We have to find the sign diagram for first derivative,  sign diagram for second derivative,  sketch…

Q: Find all of f(x)= x+1 4x+5 horizontal asympttes

A:

Q: Figure 3 shows the graph of the derivative f'(x) of a function f(x). Find the critical points of…

A:

Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

A:

Q: For f with derivative as in Figure 13: Is f(c) a local minimum or maximum? Is f a decreasing…

A:

Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…

Q: 4) Sketch the graph of the derivatives f' of the given graph below on the same grid.

A: The derivative of a function at a point is the value of the slope of the tangent to the function at…