For the function y (ƒ−¹) '(11) = - ƒ(x) = x² − x − 5, x ≥ 0.5, find - - df dy 1 y=11

Q: If y = a³ + e*, find y(4) when a = 0

A: Given: y=x3+ex   As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And…

Q: given f(x)=250e0.04x, find f'(14)

A: Given,

Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: (c) J xe0.4x (0.4x + 1)2 d dx

A:

Q: The position function for a falling object is given by s(t)=−16t^2+v0t+s0, where s(t) is the height…

A: Given: The position function of the problem is with vo= 45 and so=0 And the function is  s(t) =…

Q: For the function f(x) = In x 11x find f''(x). Then find f''(0) and f''(6).

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Q: f(x) = x³ + 3.x² – 2.x – 8, at the point (a) Find an where equation for the line tangent to = 1.

A: Given: The equation of curve fx=x3+3x2-2x-8 and the x-coordinate of point  is x=1, To find: The…

Q: For the function f(x) = 7x – 3x+ 4, find f'"(x). Then find f"(0) and f''(6). f"(x) =(Simplify your…

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Q: Let f(x) = x² g(x³). Suppose g(64) = 7, g(48) = -4, g' (64) = 4, and g' (48) = -3. Find f'(4) =

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Q: For f(x) = 3x +9 find f-(-4). %3D x-5 If necessary, answer with a reduced fraction or four decimal…

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Q: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

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Q: Given and ƒ¹(−1) = −5 and ƒ(−1) = 0. Find ƒ'(x) = 0 and find f(1) = = f"(2)=5x+1

A: given f''(x)=5x+1f'(-1)=-5  and f(-1)=0we know ∫xndx=xn+1n+1+c

Q: If f(x) = 20x + 23, find ƒ'(−9).

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Q: Q2: find y' y= 33*esinx2

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Q2: find y' y= 33xelnx²

A: We have the given function : y=33xelnx2 We have to find the derivative of this function.

Q: Use the following information to determine an equation for f(x): f"(x)= 6, f '(0) = 4, and f(0) =-5.

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Q: For the function f(x) = , find f'(x). 4x 7-x' f (x) = Answer: %3D

A: The given function is: fx=4x7-x      .....(1) To find the value of f-1x

Q: Find the max or min value of /x) -3x + 6x + 4

A: We have to find the maximum or the minimum value of the following function -  f(x) = -3x2+6x+4

Q: For the function f (x) = V8 (x – 1)*, find f-'(x).

A: Given query is to find the inverse of the function.

Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

A: Given problem:- Let f(x) = 2x3 - 7x2 + 4x .   a. On what interval(s) is f'(x) > 0?   b. On what…

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

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Q: Q2: find y' y= 33xelnx?

A: Use the product rule, ddx(f.g)=f.ddx(g)+ddx(f).g Use the derivatives, ddx(ax)=axloga…

Q: Find the x-coordinate(s) for the point(s) of inflection f(x) =(3x-2) - 4(2x 1)

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