By using caushy Rieman find the derivative of f(z) =|z| if it exit O fiz) = 2 +I21

Q: Find derivative of the function f(z) = (sin¬' (2z – 1))² with respect to z.

A:

Q: compute the derivative. g(x) = tanh−1(ex )

A: We have to compute the derivative of the function: gx=tanh-1 ex We know the formula of derivatives,…

Q: The derivative of f(r, y) at P(1,2) in th in the direction of-2j is -3. Then the of -i - 2j is

A: It is given that the directional derivative of f(x,y)  at P0(1,2) in the direction of (i+j) is = 22…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 1/x h(x) =…

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Here the given function  hx=x+2, c=-2 The function can be written as hx=x+2,x≥-2-x-2,x≤-2

Q: verify the statement by showing that the derivative of the rightside equals the integrand on the…

A: Given statement :

Q: Prove, using the definition of derivative, that if f(x)  = Cps x,then f'(x) =- Sin x

A: Given fx=cos xBy definition of derivativef'x=limh→0 fx+h-fxhfx=cos xThereforef'x=limh→0 cosx+h-cos…

Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

A:

Q: Find the derivative of f(2) = sinh(2²) – 2z cos(32). Is this an analytic functio %3D

A:

Q: Determine the derivative of p(z) = z* + 4° + 4 cos(z)-sin( )

A:

Q: By using caushy Rieman find the derivative of f(z) =|z| if it exit

A:

Q: Use Leibniz’s Rule to find the derivatives of the functions

A:

Q: Find the fourth derivative of f (z) = 37 + In(z) – 164z. Enclose arguments of functions in…

A: To Determine: find the fourth derivative of the function .  Given: we have a function…

Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 1 using a value…

A: The two-point forward difference formula to calculate f'(x) is f'(x)=f(x+h)-f(x)h, where h is the…

Q: If the derivative of y=f(x) does not exist at X = a then y f(x) is not continuous at X = A) True B)…

A:

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

A:

Q: Use forward and backward difference formula with h = 0.1 to approximate the derivative of f(x) =…

A:

Q: n(x)=3x?4k+1 %3D

A:

Q: Compute the derivative of h(sinx) at x = π,/6 , assuming that h' (0.5) = 10.

A: We have to compute the derivative of function hsin x at x=π6, assuming that h'0.5=10. We know the…

Q: Use Caushy Reman equations to Show that ĕ (Z) anel its derivative f(Z) exist Verywhere and find ぐ(z)…

A: Given: fz=z3 Rewriting given function we get, fz=x+iy3fz=x3-3xy2+i3x2y-y3 Now comparing, it with…

Q: Is the function f(x) = |x| cos x differentiable at the point x = 0 ? (Use definition of the…

A: if lim∆x→0f(∆x+x)-f(x)∆x doesn't exist then not differential

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A: On simplification, we get

Q: 2. Using the definition of derivative, prove the following: (a) fo= if s)-V (b) y-sec'x if y tanx

A:

Q: compute the derivative g(x) = tanh−1(ex )

A:

Q: Is the functionf(x) = |x| cosx differentiable at the point x =0 ? (Use definition of the derivative)…

A:

Q: (6) Find the derivative where it exists (c) Where is flz) analytic ?

A:

Q: By using caushy Rieman find the derivative of f(z) =lz| if it exit O fiz) = 2 +121 (3)

A:

Q: Shows that if a function f(x) is continuous in interval [a,b] then most likely the derivative of…

A:

Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

Q: If u, v, w are nonzero differentiable functions, then the first derivative of uv / w is

A:

Q: Suppose for sume function f we heve its derivative, f'cx) = e*sin(x), on the %3D interval o< x< ar.…

A: fx is a function such that f'x=exsinx on the interval 0&lt;x&lt;2π We have to determine where the…

Q: HW prove That The derivative of Flx)=x-x is if (x) = 3x?1 use definition of devivativeto finid The…

A: Use following mentioned rules to find the derivative of the function. The power rule of…

Q: 3/ By using the definition of derivative, proof that tan x = sec? x. %3D dx

A: By definition of derivative , f'(x) = d(f(x)dx= limh→0f(x+h) - f(x)h L Hosital's Rule :When limit is…

Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

A:

Q: Let y be a function of x and suppose y= In(y-x). What is the correct result for the derivative of y…

A:

Q: 5. Use the concept of limits to find derivative of f(z) = (2z + 1)3 at z = -i.

A: Given function is f(z)=2z+13 We have to find the derivative of the given function at z=-i.

Q: By using caushy Rieman find the derivative of f(z) =Iz| if it exit ® fLz) = 2 +Z1

A: It is given that the function fz=z. The function fz=x2+y2. Note that, If the function is…

Q: What is the second derivative of y + Incosx = 0 * O (cos x) ^2 O 1 O (sec x)^2 tan x

A:

Q: What is the correct expression of the directional derivative for o = xy ln x + sec c-'[sinh(xy)]?

A: The function is φ=xyln x+sec-1sinhxy. The directional derivative is defined as…

Q: The directional derivative of f(x, y) at the point (a, b) in the positive y- direction is f (a, b).…

A: Solution: We know that if f(x,y) is a function of two variables x and y, then fx at a point (a,b)…

Q: Find the particular antiderivative of the derivative f'(x) = 3 -+x that satisfies the condition f…

A: Follow the procedure given below.

Q: The derivative of x at X = 1 is to I Frue or false 2

A:

Q: Use Dnf (x) to approximate the derivative of f(x) = sin(x) at ;h = (0.01,0.2) 4

A: Given fx=sinx at π4, h=0.01,0.2

Q: The value of the second derivative of at its point of inflection is A less than zero B equal to zero…

A:

Q: /1 – ť dt dx cos X

A: This is a basic calculus question

Q: -2 In(x) Consider the function f(x, y) = 3y

A: We have to find the derivative of the function f(x,y) in the direction u=-5,2.…

Q: Find the derivative off with respect to x of f(x) = In x⁹. The derivative off with respect to x of…

A: