Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

Q: (a): Find the critical points of the function f(x) = 8x² – 16x.

A:

Q: Find the point at which the line f(x) = 3x – 9 intersects the line g(x) 3x + 9 -

A: The function f(x)=3x-9 and g(x)=-3x+9 intersects when f(x)=g(x).

Q: The critical points of the function f(x) = 5x² – 6x + 12 are %3D

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: Find the quotient x+h)-f(x) for f(x) = 7x – 3x²

A:

Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?

A:

Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

Q: The critical points of the function f(x)= 3x² -36x+1 are

A: To find critical point lets take first derivative of f(x)  and put f'(x) =0

Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

A:

Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

A:

Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

A:

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

A:

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

A:

Q: Apply the three-step method to compute f'(x) where f(x) = 9x² + 2. %3D

A: Given  f (x) = 9x2 + 2 .

Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Find the point of f(x) = 2x3 - 9x2-17x - 3 is at [0, 00) on which concavity changes. %3D

A: We draw graph of given function.

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: 5x°+7x Differentiate f(x) - using quotient rule. %3D 2x2-4x+5

A:

Q: 2) Find all points of inflection in the function f (x) = x 3 + 3x2 – 24x + 12.

A:

Q: Find the critical numbers of the function  f(x) = x3 + 6x2  - 15x

A: Solution -  Given function is given as- f(x) = x3+6x2-15x…

Q: find the linearization of f(x)=x^2+4x-4 at x=2

A: Linearization formula, L(x)= f(a)+f'(a)(x-a)

Q: Find the absolute maximum and minimum values of f(x) = 2x³- 3x2 – 12x for 0 <x < 3.

A: First we find the critical points of f(x) and then local extremum points of f(x). Then comparing the…

Q: Find the point at which the line f(x) = - x – 2 intersects the line g(x) 3x + 6 %3D

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A:

Q: Find the maximum value of the function f(x)=x3+3x2-9x attains in the interval [-4, 3].

A: Differentiate the given equation as, f'(x)=x3+3x2-9x=3x2+6x-9=3x2+2x-3=3x2+3x-x-3=3xx+3-1x+3=3x+3x-1…

Q: Given the funci f(x + 1) = f(x) + f( – 3) = %3D - ||

A:

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: Differentiate from the first principle f(x) = x² +6x² + 3

A:

Q: Find the local extremum  f(x)=x3+3x2-9x+6

A:

Q: Find the critical numbers of the function.   f(x)  = x3 + 6x2 -15x

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: Find the all extreme points of f(x) = x³ – 6x2 + 9x – 3 is or [-2, 2] ? |

A:

Q: Find the inflexion point(s) of f(x) = x²-3x²³

A:

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

A:

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: What is the sum of all y-coordinates of the inflection points of f(x)=x-5x"+3x -2?

A:

Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

A:

Q: Find the point(s) of inflection and intervals of concavity for: f(x) = x* – 7x³ + 18x² +7

A: We have to find the inflection points and interval of concavity for the function fx=x4-7x3+18x2+7.

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Find the absolute maximum and minimum values ​​of the function f(x)=x2−3x2+1 in the interval [-1/2,…

A:

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

A:

Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75