Q: Analyze the critical points of f (x) = (2x − x2)ex .
A: fx=2x-x2ex Differentiating with respect to x, we get…
Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?
A:
Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.
A:
Q: The antiderivative of the function f(x) : .4+7.5x³ is. -7.5 + 0.5x² + c -2 + 1.9x* + c -2 +1.9x³ + c…
A: To find the integration
Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_
A:
Q: (Kx 04x< 2 fcx) (3 x² 2€x メ ○ト×
A: We need to find the value of K for which given function is continues on its whole domain (any…
Q: 1, Differentiate the function. (2) f(x)= 5x² – x+1 (3) f(x)= (2+3x'j - nx (4) f(x)= e (5) f(x)= (x³…
A:
Q: fG)=4x-3 SC) = (f of ) (x)=
A: Given fx=4x-3.
Q: Q No. 2 Discuss the differentiability of ƒ(x) = (x – 3)' at x = 3 by using definition and…
A: the given function is: f(x)=x-323 we have to discuss the differentiability of the given function at…
Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.
A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4
Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…
A: Ttt
Q: b) f(x) = x2-x %3D x²-1
A: To find out where the function is discontinous.
Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -
A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k
Q: Maximize f=-x-3y subject to -2x+y = 2 X,y >= 0
A:
Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =
A:
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: Show that f(x) = 3x². x is not differentiable %3D
A:
Q: Graph the following functions.
A: The function: fx=-2x-1if x<-11if -1≤x≤12x-1if x>1
Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.
A:
Q: (9x-10) where "a" is f (x) = -i F (x) = 30
A: Follow the procedure given below.
Q: Find the positive critical point of the function f (x) %3D x4 + 7 x =
A:
Q: on f(x) = 8x¬' at x = 3. %3D
A:
Q: on f(x) = +9x is %3D 2)
A: There are multiple questions, as per company policy kindly ask other questions separately. Given
Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].
A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].
Q: The antiderivative of the function f(x) : .2 + 11x³ is, 4 - + 2.8x4 + c - -11 + 1.2x* + c -5 + 2.8x…
A: As we know that if we need to find the antiderivative of f(x); So, ∫fxdx=Fx+C From the given…
Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →
A:
Q: Find the critical points for f(x) = 3x5 - 20x3. %3D
A:
Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).
A: Given fx=7x2+4x-1.
Q: (b), f(x) = In (x² – 4)
A: Since you are asking only for b. Here is your answer.
Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is
A:
Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…
A: To find the points on which it is concave up or concave down
Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).
A: Solution is here
Q: Determine all the critical points of the function f(x) = 3xe3*
A:
Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0
A: Solution of given question is written in below steps.
Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1
A:
Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5
A:
Q: Find the specific that h (-3) =7 function satisfies hlx)こ 6-5x+x and
A:
Q: Consider F = (4x°y+0, 9x³ + 5y+). Then div(F) = Aæ²y!0 + By³. What is the value of B?
A:
Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -
A:
Q: The critical points of the function f(z) = 9x² - 8x + 16 are
A:
Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is
A:
Q: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…
A:
Q: [1, 2). over Calculate M6 for f(x) = 3 · In(x³) M6
A:
Q: point =)=at x = 2 -5 at x = -2 x² +1
A: Solving
Q: What are the critical numbers of the function f(x)= 2x^(3)-2x^(2)-16x+1?
A: Let's find.
Q: Suppose that f(r, y) = x² – xy + y² – 4x + 4y with – 4 < x, y < 4. -
A: 1.) Given Function is f(x,y) =x2-xy+y2-4x+4y with -4≤x,y≤4 Then, fxx,y=2x-y-4…
Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.
A: f(x)=3x2, F(1)=-1
Step by step
Solved in 2 steps with 2 images
- 1. Determine the -values where relative extrema occur for y = (x ^ 2 + x - 12) ^ 2 . Use the second derivative test, if possible.show derivatives of : a. y = ex^3+5x3 b. y = ln(2x4+2)3To determine maximums and minimums by the Second Derivative Test, we differentiate y"=72 / (2-8)3 Substituting x = 14 into y'', _____ <,>, 0r = Substituting x = 2 into y'', ______ <,>, or =
- find a linearization at a suitably chosen integer neara at which the given function and its derivative are easy to evaluate. ƒ(x) = x2 + 2x, a = 0.1Determine the Derivative of the Function: 1. y = ex - 1/ex + 1 2. y = x22x 3. y = 43x^2 4. f(x) = etan2x 5. f(x) = sinhxtanhx 6. f(x) = x2 sinh-1(2x) 7. f(x) = sech-1(√1-x) 8. y = sech2lnxSolve for the 2nd derivatives and accuracies of f(x) = -0.1x4-0.15x3-0.5x2-0.25x+1.2 at x=0.5 and a step size of h=0.25 Using A. Forward finite-divided difference B. Backward finite-divided difference C. Centered finite-divided difference
- How would you find the stationary points of partial derivative equations coming from a multivariate equation?Find the partial derivative of the following y = 3x2z + xz3 – 3z/x2Encounter the critical points of f(x, y) = 16x3 - 9y2 - 36x2 - 12y + 6x - 27 and then denote each point's nature with the second derivative test.