X = Xo Give an example of a function f such that the derivative of Så fl+dt at does not equal f(xo). Also assume integrable on [a,b] and acxo Lb. f is

Q: z + 2.5 -3 = Z

A:

Q: f(x,y,z) be a differentiable function the point P(2,5,-1). Let at Which of the following is the…

A: Answer is mentioned below

Q: what is f'of x

A: Find f’(x).

Q: 1. Find if the function is continuous in the given points (sin(x+y) x+y 1 D) f(x, y) = x + y = 0…

A:

Q: Find V· (V × F), if F(x, y, z) = 3e**i+3xe'j – 3e²k. - V·(V × F)

A:

Q: Where is the function f(r+iy) = 4y – 5ix differentiable? Where is it holomorphic? Determine it:…

A:

Q: The maximum directional derivative of f(z,y,2) sin(zy)-ya +10 at (-1, 2, 0) is Question 5

A:

Q: f'(z) = lim Δz-10 f(z + Δz) – f(z) Δz

A:

Q: Let g(u) be a differentiable function, and let f(x, y) = g(x^2,y^2)   Find the direction of…

A: Given that gu be the differential function and let fx,y=gx2,y2 We have to find the direction of…

Q: Find the general anti-derivative of f(x) = + Vx on a continuous interval.

A:

Q: If I let f be continuously differentiable on R^2, how do I prove that gradf = (fx,fy)?

A:

Q: Show that the function f defined on [0, 1] by the conditions f=2e when<a<를, -1,2, 3, p=1, 2, 3,...…

A:

Q: integral f t^3 In t dt

A:

Q: Find all of the critical points of the function f(x, y) = x²y². Can the second derivatives test be…

A:

Q: Cz sin r 5. If f : R → R is continuous, find F"(x) for F(x) = f(t) dt. %3D

A: F'(x) of the given function

Q: Find F′(x).

A: Given function Fx=∫14xcott dt To find: F'x Solution: Fx=∫14xcott dt=lnsint14x=lnsin4x-lnsin1…

Q: Find f'(z) if f(r) = 3 csc(r) + cot(r). %3D Answer:

A:

Q: Check the following functions if Piz) exist not and find f'(z) if exist: ,or D fcz) = 1Zit %3D

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Q6: A: If f(x,y)=ycos⁡x+xe^y.find f_x,f_y,f_xx,f_yy,f_xy B: Find the derivative of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let f be a differentiable function with f(1) = -3, f'(1) =0, and 1+ f(x) h(x) = What is h' (1)?…

A:

Q: 1) Consider the function C(x) = cos(t²)dt a) Find the derivative of C(x). b) On what intervals is…

A: A function Cx=∫0xcosπt22dx. To Find: a) Derivative of C(x). b) On what intervals is the function C…

Q: The function fCx) is defined by an integral Vi+8sin't dt %3D Find an expresion for f'(x)

A:

Q: find the following integration:-

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Consider a function f continuous and differentiable on R with f(2. 5) = -3. 1 and f'(2. 5)=-0. 2.…

A: We have to find

Q: Q2) Find the derivative of f(x)(Hint: use the fundamental theorem of calculus -part f(x)= | 1+2x t…

A:

Q: What is the first-order derivative of y = x^y?

A:

Q: (x³ + bx + a, xs-1 lbx? - Let f(x) = .Then the values of a and b so that the %3D -a, x >-1…

A: The function is: f(x)=x3+bx+a, x≤-1bx2-a,      x&gt;-1 So, the function is continuous at x=-1 if…

Q: Make sure you do your best to answer all three parts. Suppose f(x) and F(x) are continuous functions…

A:

Q: Find F'(x) if F(x) = cot¬13

A: A detailed solution is given below

Q: The maximum directional derivative of f (x, y, z) = x² sin(zy) – yx + 10 | at (-1, 2, 0) is

A: