Find a formula for the inverse function f' and verify that 50 (fof *)(x)=(f*of)(x)=x, if f(x)=; Also find the domain, 1+1.1* range of f , f and plot f, f on graph paper near to origin.

Q: Find the Derivative f(x) = cosh(In(4x))

A:

Q: (2х-6)° $(x) = (2x-6)* (x+3)'

A:

Q: Compute the derivative. f(x) = (cos2 x)cosx

A:

Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: Find the hundredth derivative of the function f (x) = cos(2x). O f(100) (x) = -2!00 cos(2x) O f(100)…

A:

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e". %3D Equation:

A: To find the equation of the tangent line to the graph of: y=f(x)=ln(-x) at x=x0=-e4 The equation of…

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: compute the derivative.  f (x) = (cos2 x)cos x

A: To compute the derivative.  f (x) = (cos2 x)cos x

Q: Find the derivative of ƒ (x) = /9 – 2æ. To enter va, type sqrt(a). f' (x) =

A: The chain rule says that when the terms inside a function being differentiated does not correspond…

Q: Compute the derivative. f(x) = (2x 4 - 4x- 1) secx

A:

Q: Find the equation of the tangent line to the graph of f(x) = sin (- -) at the point x = 1. 6

A:

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: 4 -4 -3 2 4 -2

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2…

Q: f(x)=rad(3-sinx/4-cosx)

A:

Q: Find the fourth derivative of f (z) = 2" + In (x) – 160z. %3D Enclose arguments of functions in…

A:

Q: Find the derivative of f(x) = (1 + 7x2)(x − x2) in two ways. 1. Product Rule 2.Perform the…

A: For product rule we use u=1+7x^2 and v=x-x^2Product rule = u'v+uv'Answer: f'(x)=1-2x+21x^2-28x^3

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: What is the derivative of f(x) g(x) in terms of f and g? Compute the derivative of -sin(x) · 2x=1…

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

Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

A:

Q: 1. f(x)=(2x-5) ¹ (4x+3)²

A: We need to find derivative.

Q: Find an equation of the tangent line to the graph of function f(x): 3 %3D x+5 at the point (2, ).…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: The function f that has the given derivative f'x=sec22x and passing through point π2,2. Now,…

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: What is f(2022) (cos x), the 2022nd derivative of f(x) = cos x? COS X sin a sina

A: To find 2022nd derivative of f(x) = cos(x).

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2

Q: Find the derivative of the function f(x)=1/x using limit definition derivative

A: According to the given information it is required to calculate the derivative of the function using…

Q: Find the derivative of the function by using thẻ Product Rule. Simplify your answer. f(x) = (Vx -…

A:

Q: Find the derivative of f(x) = arctan x In(6x? + 6x – 4) 1 1 -In(бx? + бх — 4) + arctan x- -(12x + 6)…

A: Product rule (u v )' = u ' v + u v' Formula derivative of xn=n xn-1 Derivative of arctan…

Q: Find the derivative of f(x)  =(a + 2x2) (x - x2) in twoways: by using the Product Rule and by…

A: We have given function  fx=a+2x2x-x2 At first we  will use product rule:…

Q: Find the derivative of the function by the limit process. f(x) = 7

A: The given function f(x)=7. The derivative of the limit  for the function f(x) is defined by So, to…

Q: equation of the function f whose graph passes thro f'(x) = x/25 - x²

A:

Q: 5. ƒ(x) = (x²+x−3)√√x²+x=3

A:

Q: f(x) = 3 sin 1 (x²)

A:

Q: What is the inverse process of determining a function whose derivative is known?

A: The inverse process of determining a function whose derivative is known is called

Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

A:

Q: X-2 %3D

A:

Q: Find f"(x) f(x)= J3x-7

A: Given that, The function f(x) is, f(x) = 3x-7 We have to find the second derivative of the given…

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: 12. f(x) = ( cosx 1+sinx)

A: f(x)= (cosx/ 1+sinx)2

Q: Show that F(x) = tan2 x and G(x) = sec2 x have the same derivative.What can you conclude about the…

A: Given:Fx=tanx2Gx=sec2x

Q: function

A:

Q: Find the derivative of f(x)=5-x/2sin2x

A: Consider the given function.

Q: 2 2. f(x) = 5-x², (3,-4)

A:

Q: 5-cos x 3) f(x) = 5+sinx foo

A:

Q: s(w) = In( w - %3D

A:

Q: Find the derivative of f(x) = arctan x In(6x² + 6x – 4) 1 1 arctan x 6x2+6x-4

A: Here the given function fx=tan-1x ln6x2+6x-4