Consider the function f : RH→ R defined by f(x) = 2e(2z+5) log(2r+5) + If f convex or concave ? Why ?

Q: The derivative of f(z) = Log(2iz – 4 + 6i) at z = -3 + 4i is %3D Log(-12). O 2i -12 None of them O…

A: We have to find Derivative using definition and L'Hospital Rule.

Q: Let n be a positive integer. Define the function fn (2) by d fn (2) = n(2² + Find the value of f(-1…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Estimate f (2.1) if f (2) = 1 and f'(2) = 3.

A: Given: The linear approximation of f at a is one way of writing the equation of the tangent line at…

Q: if z=x+jy, then  check whether the function f(z)=1/1+z2 is an entire function .state the reasons

A: According to the given information, it is required to check whether the given function is entire or…

Q: Find F′(x).

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

Q: Let f(z) = 2z? – 3–ze" +e**. Describe this function in detail.

A: A function is an equation that relates an input to an output. A function can be written as…

Q: Differentiate the function. H'(z) = H(z) = In c²-2² c²+z²

A: H(z)=lnc2-z2c2+z2

Q: Determine if f(x) is differentiable at x = 0 if

A: We will find out the required solution.

Q: Show that the function f(x)=√x+1 is differentiable in 2 = 2 but not differentiable in x = −1.

A: Given data:- The given function is, fx=x+1

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

A:

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: If f(x) = log2x then which function below has been vertically stretched, %3D shifted right 2, and…

A: Answer: C)2f(x+2)-1

Q: Can f(z) = | Re (z2) | + i.Im (-z) be derived from the function z=0? Show it.

A:

Q: Compute f(s), where f(z) = e and 8

A: The given function is  and

Q: x2 + 1, хS 2 4х - 3, х> 2 89. f(x) = %3D

A:

Q: Let D = {z E C : |z| 0} be the upper half-plane. Find a Möbius transformation f : C → C such that…

A:

Q: f(x) =-7x-3 is a Lipchitz function on R. True False

A: Given information: The function is f(x)=-7x-3. Concept used: Lipschitz Function: Let f be a function…

Q: compute ref(i) when f(z)=sqrt(z-1) and f(0)=-i

A: Given:It is given that  and .To Find:We have to compute .