Draw a graph to match the description. Answers will vary. f(x) has a negative derivative over (-∞, -5) and a positive derivative over (-5, ∞).

Q: Find the slope and the equation of the tangent line to the graph of the function at the given point.…

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: Find derivatives of the functions defined as follows: y = -3e3x2+5

A: Given:y=-3e3x2+5

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

A: Solution:

Q: - g(4)= <F 1 • g(x)= x² +. 5

A:

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

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Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x)…

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Q: Find the derivative of the given function. 3-2х y = 3+2x

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

Q: Find the derivatives of all orders of the functions y = (4x2 + 3)(2 - x) x

A: We first expand the expression

Q: 1. f(x) = x² at x = 3

A: Given: f(x)=x2 at x=3

Q: Find all possible functions with the given derivative. y'=-5+7/x^2

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Q: Find the derivative of y=-3/(t-2)4

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Q: Calculate the derivative of the function. g(x) (x2-3x- 1)-5 g'(x) (No Response) Need Help? Read It

A: Given: g(x) = x2-3x-1-5 To find: The derivative g'(x) of the given function.

Q: The function f is given by f(x) = -1-e-. What is the equation of the line tangent to the graph of f…

A: Given data: The given function is f(x)= -1- e-x. The slope of the tangent line is f'(x)=5. The…

Q: Calculate the derivative of the following. Show your complete solution. A. y = (x*- 3x² + 5x) 3 %3D

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Given f(x) = -x – 8, find f' (9) using the definition of a derivative. Provide your answer below:…

A:

Q: Use a graphing calculator to find ƒ′(2), ƒ′(16), and ƒ′( −3) for the following when the derivative…

A: The given graph of the function is:

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

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Q: Find the derivative of the function below using the definition of the derivative. f(x) = 2³ + 2

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

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: g(x) = 2x √1+3x

A: SOLUTION-

Q: Assume both the graphs of ƒ and g pass through the point(3, 2), ƒ′(3) = 5, and g′(3) = -10. If p(x)…

A: Both the graphs of ƒ and g pass through the point (3, 2), ƒ′(3) = 5, and g'3=-10. Now consider,…

Q: Find the derivative of h(x)=(-2x-5)3 (2x-4)5you should leave your answer in factored form. Do not…

A: Compute the derivative of h ( x ) as follows.

Q: Find the derivative of the function

A: Given function:

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

A: Form the differential equation and solve it using integration and satisfy the given point.

Q: Find the x-values where the following do not have derivatives.

A: Given graph:

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

A:

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: For a function f(x) its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. Use the expansion…

Q: Find the derivative of the function and then evaluate at the given point. y= 3x- 4x; (- 1,7) f'(x)=D…

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Q: a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g'() ?

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Q: Find the derivative of the function. 7x - 9 f(x) = f'(x) = Need Help? Read It

A: The answer is given below:

Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: Suppose the derivative of the function y​f(x) is (x-1)^2(x-5)(x-2). At what​ points, if​ any, does…

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Q: Consider the function: y = -3x3ex Find the first derivative of the above function.

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Q: Find the first and the second derivatives of the function. y%3D 6-x

A: The given function is: y=x6-x  =-xx-6  =-x-6+6x-6  =-1+6x-6  =-1-6x-6

Q: h(x) = In (a- 7) (r +3)

A:

Q: Find the derivative of f(x)

A: Given,

Q: find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (х) - х2…

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Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Use the graph below to find exact values of the indicated derivatives, or state that they do not…

A: The graph of the functions fx and gx are given that. And their composite function is hx=fgx. Now,…

Q: The graph of function f(x) is shown below. At which value of a is the derivative of the function…

A: The graph of the function

Q: Find the derivatives of the functions w = (2x - 7)-1(x + 5)

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Q: Find the derivative of the function. y = x?/25 - x2

A:

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

Q: Find the derivative of the function  g(x)= (3x-2)2 (4x+5)3 Show all work and circle answer.

A:

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

A: Given hx=x+8, c=-8

Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…

Q: Find a function with the given derivative whose graph passes through point P f'(x)=x-4, p(1,7)

A: Integrating on both sides, we get