Find f'(x) and find the value(s) of x where the tangent line is horizontal. X f(x) = (2x-5)3 f'(x) Select the correct choice below and fill in any answer boxes in your choice O A. The value(s) of x where the tangent line is horizontal is (Use a comma to separate answers as needed OB. The tangent line is never horizontal. Click to select your answer(s)

Q: If f(x): ƒ'(x) = f'(5)= = 7x² + 2x + 5 √x " then:

A: Given: It is given that the function is fx=7x2+2x+5x. To find: The main aim is to find the…

Q: y=2(squareroot)x X sin(squareroot)x Find the Derivative

A: Given,           y=2xsinx

Q: Use the chain rule to find the derivative of 8√7x³ +5x6

A:

Q: Find the derivative of ƒ (x) = 8ª ln (x).

A:

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: Find a general expression for the slope of a tangent line to the indicated curve. Then find the…

A: Given Data: Equation of the curve: y=x2+2x+3π The derivative of the above equation with respect to x…

Q: Find an equation of the tangent line to the curve at the given point. et²-y = (6,36) (Express…

A:

Q: Differentiate the function g(x) = 6x² + 11tanx.

A: The function is given by gx = 6x2+11tanx To evaluate: The expression of g'x

Q: k. y = 5*

A: Given query is to find the derivative.

Q: For item # 6, use the product rule. 6.) f (x) = (x³ – 1)(4x + 5) %3D | x+3 7.) f (x) = 5х-2

A: Here we have to differentiate the given functions.

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

A: Given that:                    f(x) has a positive derivative over (-∞, 5) and (-5, 4) and a…

Q: b. f(x)=7x²e"

A:

Q: If f(x) = 7+ Find ƒ'(5). 3 X + 6 x² " find ƒ'(x).

A: Please see the below picture for detailed solution.

Q: Differentiate the function g(x) = 2x² + 5tanx. Answer g'(x) =

A: Given : the differenctiate Equation : g(x)=2x2+5tan(x)

Q: Find an equation of the tangent line to the graph of f at the given point. y = Verify your results…

A: Given that : The equation f(x ) = x + 8   , (8 , 4). The equation of tangent line to the curve at…

Q: Let f(x) = x¹ + 2x³ + 3x² + 2x. Then f'(x) is and f'(2) is f''(x) is and f''(2) is

A:

Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: create 2 sample word problems of basic rules of differentiation  with solutions

A: First problem: At what rate is the area of square increasing when the side increases at a rate of 2…

Q: y = sin(2x) compare to the function y = sin(x), how do these function relate?

A:

Q: Given: f(x) = 3x-2 %3D Find: f'(x)

A: Given that f(x)=3x-2. We have to find f-1(x). Let y=f-1(x). Then  f(y)=f(f-1(x))=x.

Q: Estimate the slope of the tangent line of the function y(x) = 24 at x = 1. 2+x (Use decimal…

A:

Q: Plot the function f(x) = sin(x)cos(2x) and its derivative, both on the same plot, for 0<x<2n. Plot…

A: Given f(x) =sin2(x)cos(2x)⇒f'(x) =2sin(x)cos(x)cos(2x)-2sin2(x)sin(2x)

Q: Find the derivative of: -7√x- 6 x7 Type your answer without fractional or negative er

A: The given equation