Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o, -5) and (-5, 4) and a negative derivative over (4, o), and a derivative equal to 0 at x = -5.

Q: (a). Find the derivative of the following function. y=4 In x-n(x-8).

A: NOTE  We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: Find the derivative of the given function by definition 6" y 5xar+1 + 3r

A:

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

A: The given function is fx=13x The definition of the derivative is shown below: f'x=limh→0fx+h-fxh

Q: Find the derivatives of the functions y = x3ex

A: We find the first few derivatives using the product rule

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

A:

Q: Using the definition of the derivative, find f'(x) for the following function. 4. f(x) = - x² + 8x -…

A:

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

A:

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

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: Find the derivative of the algebraic function.

A: Given: f(x)=4-3x-x2x2-1

Q: Find the derivative of the function. 1 g(x) x2 +o g'(x) =

A: Use the basic power rule of derivative and simplifie.

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

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivatives of the functions g(x) = tan 3x/(x + 7)4

A:

Q: The derivative of the following fu with respect to x when y: -1

A:

Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

A:

Q: Find the derivative of the function.

A: hs=-25s2+3

Q: The given problem needs the fırst derivative. Find the first derivative. a² x Y= a2 + x

A: Here we have to find the first derivative of the function. dxndx= n xn-1

Q: 2. Fill in the appropriate derivative rule information for the function y (2-e")V6x-1 in the table…

A:

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

A:

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible: d.…

A:

Q: The function is given by implicitly by the equation xy² +x?y+x?y² = 3. Find the derivative of y in x…

A: Here we use derivation in the function

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the derivative of f(x) = e2" (3a? - x)

A:

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

A:

Q: f(x) 5 1 -1

A:

Q: Let f(x) = 12 – x2 The slope of the tangent line to the graph of f(x) at - the point ( - 3, 3) is…

A:

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

A:

Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: Match the graph of the function to the right with the graph of its derivative below. Choose the…

A: The given graph is of the function: cot x

Q: 6. y F-2x

A: The given function y=31-2x2

Q: h(x) — Зсosh 1 Csc

A: Let's find.

Q: 2x+5 e. y = 3x-2 f. y = (2x? + 2)(x² + 3)

A: Derivative of the function y=f(x) is the measure of rate of change of y with respect to x.…

Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

A:

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A:

Q: (0. §) Find the equation of the function f whose graph passes through the point and whose derivative…

A: you can clearly understand if you follow the below solution

Q: Using the appropriate rule, find the derivative of each of the following function answers, where…

A: Explanation and solutions is given below.....

Q: (x²+7) Yキ 7. フーX

A: We use first derivative devide rule and differentiate of y . Here i provide full solution of this…

Q: Find the derivatives of the functions p = √3 - t

A:

Q: -6-X 1.) y = cos -6.x3 y =

A: We have to find the derivative of the function: y=cos-1 -6x3 We know the formula of derivatives,…

Q: Using the properties of derivatives, solve for f"(k lа.

A:

Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A:

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y…

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

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

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: -2x Answer the following questions about the function whose derivative is f'(x) = (x+5) e2x,

A: Given f'(x)=(x+5)e-2x  we need to find the critical point, interval of increase and decrease, and…